New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Multipartite and Cycle By EQUAL CONNECTIVE DOMINATION As Hyper Decoration On Super Density

306

[HG306] Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Multipartite and Cycle By EQUAL CONNECTIVE DOMINATION As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.8201165).

@ResearchGate: https://www.researchgate.net/publication/-
@Scribd: https://www.scribd.com/document/-
@ZENODO_ORG: https://zenodo.org/record/8201165
@academia: https://www.academia.edu/-

 

\documentclass[10pt,letterpaper]{article}
\usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry}
\usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color}
\usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref}
% use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts)
\usepackage[utf8]{inputenc}

% clean citations
\usepackage{cite}

% hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url
\usepackage{nameref,hyperref}

% line numbers
\usepackage[right]{lineno}

% improves typesetting in LaTeX
\usepackage{microtype}
\DisableLigatures[f]{encoding = *, family = * }

% text layout - change as needed
\raggedright
\setlength{\parindent}{0.5cm}
\textwidth 5.25in
\textheight 8.79in

% Remove % for double line spacing
%\usepackage{setspace}
%\doublespacing

% use adjustwidth environment to exceed text width (see examples in text)
\usepackage{changepage}

% adjust caption style
\usepackage[aboveskip=1pt,labelfont=bf,labelsep=period,singlelinecheck=off]{caption}

% remove brackets from references
\makeatletter
\renewcommand{\@biblabel}[1]{\quad#1.}
\makeatother

% headrule, footrule and page numbers
\usepackage{lastpage,fancyhdr,graphicx}
\usepackage{epstopdf}
\pagestyle{myheadings}
\pagestyle{fancy}
\fancyhf{}
\rfoot{\thepage/\pageref{LastPage}}
\renewcommand{\footrule}{\hrule height 2pt \vspace{2mm}}
\fancyheadoffset[L]{2.25in}
\fancyfootoffset[L]{2.25in}

% use \textcolor{color}{text} for colored text (e.g. highlight to-do areas)
\usepackage{color}

% define custom colors (this one is for figure captions)
\definecolor{Gray}{gray}{.25}

% this is required to include graphics
\usepackage{graphicx}

% use if you want to put caption to the side of the figure - see example in text
\usepackage{sidecap}
\usepackage{leftidx}
% use for have text wrap around figures
\usepackage{wrapfig}
\usepackage[pscoord]{eso-pic}
\usepackage[fulladjust]{marginnote}
\reversemarginpar
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}
\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{xca}[theorem]{Exercise}
\theoremstyle{remark}
\newtheorem{remark}[theorem]{Remark}
\theoremstyle{observation}
\newtheorem{observation}[theorem]{Observation}
\theoremstyle{question}
\newtheorem{question}[theorem]{Question}
\theoremstyle{problem}
\newtheorem{problem}[theorem]{Problem}
\numberwithin{equation}{section}
\usepackage{fancyhdr}
\pagestyle{fancy}
\fancyhf{}
\fancyhead[LE,RO]{Henry Garrett · Independent Researcher · Department of Mathematics · DrHenryGarrett@gmail.com · Manhattan, NY, USA }
\fancyfoot[LE,RO]{Henry Garrett · Independent Researcher · Department of Mathematics · DrHenryGarrett@gmail.com · Manhattan, NY, USA }
% document begins here
\begin{document}
\vspace*{0.35in}
\linenumbers
% title goes here:
\begin{flushleft}
{\Large
\textbf\newline{
New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Multipartite and Cycle By EQUAL EQUAL CONNECTIVE DOMINATION As Hyper Decoration On Super Density
}
}
\newline
\newline
Henry Garrett · Independent Researcher · Department of Mathematics · DrHenryGarrett@gmail.com · Manhattan, NY, USA
% authors go here:

\end{flushleft}
\section{ABSTRACT}
In this scientific research, (Different Neutrosophic Types of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}). Let a Neutrosophic SuperHyperGraph (NSHG) $S$ be a pair $S=(V,E).$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_2,\ldots,V_s\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} if the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'}T(V_i),\sum_{V_i\in V'}I(V_i),\sum_{V_i\in V'}F(V_i))|
\\&&
=\max_{V''\subseteq V_{NSHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~\forall V_i\in V_{NSHG},\exists V_j\in V'':
\\&&T'_V(V_i,V_j\in E_{i'})= \min[T_{V}(V'_i),T_{V}(V'_j)]_{V'_i,V'_j\in P:V_i,\ldots,V_j},
\\&& I'_V(V_i,V_j\in E_{i'})=\min[I_{V}(V'_i),I_{V}(V'_j)]_{V_i,V_j\in E_{i'}}_{V'_i,V'_j\in P:V_i,\ldots,V_j},
\\&& \text{and}~F'_V(E_{i'})(V_i,V_j\in E_{i'})=\min[F_{V}(V'_i),F_{V}(V'_j)]_{V_i,V_j\in E_{i'}}_{V'_i,V'_j\in P:V_i,\ldots,V_j}
 \\&& \}
\end{eqnarray*}
In this scientific research, new configurations are introduced for the new SuperHyperNotions, namely a EQUAL CONNECTIVE DOMINATION and a Neutrosophic EQUAL CONNECTIVE DOMINATION. Two different SuperHyperDefinitions were started for them, but research has progressed and SuperHyperNotion, SuperHyperUniform, and SuperHyperClass are well-defined and well-reviewed based on them. Literature review is implemented throughout this research. To shine the light and importance of this research, a comparison between this SuperHyperNotion with other SuperHyperNotions and basic SuperHyperNumbers is presented. Definitions are followed by examples and examples, so clarifications are guided by various tools. Applications are designed to understand the theoretical aspect of this ongoing research. ``Cancer diagnosis" are the things that are being researched to explore the challenges that make sense in ongoing research and future research. It is a special case. Cells are viewed in the intended manner. There are different types of them. Some are individual and some are well modeled by groups of cells. All these types are officially called ``SuperHyperVertex", but the relationships between them all are officially called ``SuperHyperEdge". ``SuperHyperGraph" and ``Neutrosophic SuperHyperGraph" frameworks are selected and selected for research on ``Cancer Diagnosis". Thus, these complex and dense super-hypermodels open avenues for research on theoretical aspects and ``cancer diagnosis". Ways to pursue this scientific research have been considered. It has also been formally collected in the form of several questions and problems.
It is useful to define a ``neutrosophic" version of EQUAL CONNECTIVE DOMINATION. Since there are more ways to get type results a EQUAL CONNECTIVE DOMINATION becomes more understandable. In order to master the Neutrosophic EQUAL CONNECTIVE DOMINATION, there is a need to ``re-define" the concept of ``EQUAL CONNECTIVE DOMINATION mastery". SuperHyperVertices and SuperHyperEdges are assigned by alphabetical labels. In this method, the position of tags is used to assign values. Suppose a EQUAL CONNECTIVE DOMINATION. If the specified table contains ``values of vertices, supervertices, edges, hyperedges, and hyperedges belonging to Neutrosophic SuperHyperGraph" with key points, it is redefined.
"values of vertices \& number of positions in alphabet",
"Values of SuperVertices\&maximum values of its vertices",
"values of edges\&maximum values of its vertices",
"super edge values\&max values of its vertices", ``super edge values" and maximum values of its endpoints". To get examples and structural examples, I would like to introduce the next SuperHyperClass SuperHyperGraph based on EQUAL CONNECTIVE DOMINATION. This is the original. Having the foundation of the previous definition in the SuperHyperClass type would be disciplined. If there is a need to have all EQUAL CONNECTIVE DOMINATION until EQUAL CONNECTIVE DOMINATION, then it is officially called ``EQUAL CONNECTIVE DOMINATION", but otherwise, it is not EQUAL CONNECTIVE DOMINATION. There is some explanation for the original definition titled ``EQUAL CONNECTIVE DOMINATION".  These two examples are further explored and distinguished because they are characterized in the SuperHyperClass disciplinary methods based on a dominant EQUAL CONNECTIVE DOMINATION. Because of having EQUAL CONNECTIVE DOMINATION, there is a need to ``re-define" the concept of ``neutrosophic EQUAL CONNECTIVE DOMINATION" and ``neutrosophic EQUAL CONNECTIVE DOMINATION". SuperHyperVertices and SuperHyperEdges are assigned by alphabetical labels. In this method, the position of tags is used to assign values. Consider a Neutrosophic SuperHyperGraph. ``Neutrosophic SuperHyperGraph" is redefined if the desired table exists. And if the desired table exists, a EQUAL CONNECTIVE DOMINATION is redefined to a ``Neutrosophic EQUAL CONNECTIVE DOMINATION". It is useful to define a ``Neutrosophic" version of SuperHyperClasses. Since there are more ways to obtain Neutrosophic type results, a SuperHyper- Neutrosophic EQUAL CONNECTIVE DOMINATION becomes more understandable. Consider a Neutrosophic SuperHyperGraph. If the desired table exists, there are a number of Neutrosophic SuperHyperClasses. So are SuperHyperPath, SuperHyperCycle, SuperHyperStar, SuperHyperBipartite, SuperHyperMultiPartite and SuperHyperWheel.
"Neutrosophic SuperHyperPath", ``Neutrosophic SuperHyperCycle", ``Neutrosophic SuperHyperStar", ``Neutrosophic SuperHyperBipartite", ``Neutrosophic SuperHyperMultiPartite" and ``Neutrosophic SuperHyperWheel". A graph is SuperHyperUniform if it is a SuperHyperGraph and the number of SuperHyperEdges elements is the same. Consider a Neutrosophic SuperHyperGraph. There are a number of SuperHyperClasses as follows. It is a SuperHyperPath if there is only one SuperVertex as an intersection between two given SuperHyperEdges with two exceptions. If only one SuperVertex is given as an intersection between two SuperHyperEdges, it is SuperHyperCycle. It is SuperHyperStar and only one SuperVertex as intersection among all SuperHyperEdges. It is SuperHyperBipartite, and only one SuperVertex is given as the intersection between two SuperHyperEdges, and these SuperVertices, which form two distinct sets, have no SuperHyperEdge in common. This is SuperHyperMultiPartite. Only one SuperVertex is given as an intersection between two SuperHyperEdges, and these SuperVertices, which form separate multisets, have no SuperHyperEdge in common. If only one SuperHyperEdge among the given two SuperHyperEdges is a SuperHyperWheel and a SuperVertex has a SuperHyperEdge with any regular SuperVertex. SuperHyperModel suggests specific designs and specific architectures. SuperHyperModel is officially called ``SuperHyperGraph" and ``Neutrosophic SuperHyperGraph". In this SuperHyperModel, the ``special" cells and the ``special group" of cells are SuperHyperModeled as ``SuperHyperVertices" and the common and desired properties between the ``special" cells and the ``special group" of cells. SuperHyperModeled as ``SuperHyperEdges". Sometimes, to have a more accurate SuperHyperModel, it is useful to have some degree of determinism, uncertainty, and neutrality, in this case the SuperHyperModel is called ``Neutrosophic". In future scientific research, the foundation will be based on ``diagnosis of cancer" and the results and definitions will be introduced in redeemed methods. Cancer diagnosis in long-term practice. The specific region is assigned by the model (called SuperHyperGraph) and the long cycle of movement of the cancer is determined by this scientific research. Sometimes the movement of cancer is not easy to detect, because there is certainty, uncertainty and neutrality about the movements and effects of cancer on that area. This event leads us to choose another model [which is said to be the Neutrosophic superhypergraph] in order to have a proper understanding of what happened and was done. There are some specific models, which are well known and have names, and some SuperHyperGeneral SuperHyperModels. The movements and effects of cancer in complex pathways and between complex groups of cells can be visualized with a Neutrosophic SuperHyperPath (-/SuperHyperCycle, SuperHyperStar, SuperHyperBipartite, SuperHyperMultipartite, SuperHyperWheel). The goal is to find the longest EQUAL CONNECTIVE DOMINATION or the strongest EQUAL CONNECTIVE DOMINATION in those Neutrosophic SuperHyperModels. Some general results are presented for the longest EQUAL CONNECTIVE DOMINATION called EQUAL CONNECTIVE DOMINATION and the strongest EQUAL CONNECTIVE DOMINATION called Neutrosophic EQUAL CONNECTIVE DOMINATION. Beyond that in SuperHyperStar, all possible SuperHyperPaths have only two SuperHyperEdges, but it is not enough as having at least three SuperHyperEdges is necessary to form any style of cycle. There is no form of any cycle, but literally, it is the transformation of any cycle. It literally transforms and does not form. A basic introduction to the theory of EQUAL CONNECTIVE DOMINATION Neutrosophic, SuperHyperGraphs and Neutrosophic SuperHyperGraphs is suggested.
\\ \vspace{4mm}
\textbf{Keywords:} Neutrosophic SuperHyperGraph, SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}, Cancer's Neutrosophic Recognition
   \\
\textbf{AMS Subject Classification:} 05C17, 05C22, 05E45
\section{Applied Notions Under The Scrutiny Of The Motivation Of This Scientific Research}
In this scientific research, there are ideas in the prominent frameworks of motivations. I try to bring motivations in narrative ways. Some Cells have faced attacks from the established situation with cancer attacks in this case, there is some analysis embedded in the case current situations where cells can be labeled as some groups and some groups or individuals are overlabeled, all from behaviors to overcome cancer attacks. In embedded situations, cell individuals and cell groups can be considered as ``new groups". So it encourages us to find suitable SuperHyperModels for more appropriate analysis about this dirty story. I found SuperHyperModels, officially called ``SuperHyperGraphs" and ``Neutrosophic SuperHyperGraphs". In this SuperHyperModel, cells and groups of cells are defined as ``SuperHyperVertices" and relationships between individual cells and groups of cells are defined as ``SuperHyperEdges". So this is another motivation for us to do research on this SuperHyperModel based on ``cancer diagnosis". Sometimes, things get worse. The situation has passed certainty and precise style. So it is beyond them. There are three descriptions, i.e., degrees of determination, uncertainty, and neutrality, for any object based on ambiguous forms, i.e., incomplete data, imprecise data, and uncertain analysis. The second model can be considered in the previous SuperHyperModel. This is SuperHyperModel. This is SuperHyperGraph but officially called ``Neutrosophic SuperHyperGraphs". Cancer is a disease, but the model is supposed to understand what happens in this phenomenon. The special case of this disease is considered and some parameters are used as consequences of the model. Cells are attacked by the disease, but the movement of cancer is in a specific area. Knowing the mind of cancer can help to find some cures for this disease. SuperHyperGraph and Neutrosophic Super-HyperGraph are super-hypermodels used in ``cancer diagnosis" and both are the foundation of the background of this scientific research. Sometimes cancer has occurred in an area full of cells, cell groups, and embedded styles. In this section, SuperHyperModel proposes based on the links of cancer movements in the form of unity styles with the formation of design and architecture officially called ``EQUAL CONNECTIVE DOMINATION", in the themes of specialized terms and common words. Particle for direct object. Applied concepts under the investigation of the motivation of this scientific research. The ``SuperHyper" prefix refers to the theme of embedded styles for background discovery for SuperHyperNotions. Cancer diagnosis in long-term practice. The specific region is assigned by the model (called SuperHyperGraph) and the long cycle of movement of the cancer is determined by this scientific research. Sometimes the movement of Cancer is not easy to identify because there is certainty, uncertainty and neutrality about the movements and effects of Cancer in that region. This event leads us to choose another model [said to be Neutrosophic SuperHyperGraph]. Easy understanding of what happened and what was done. There are some specific models that are well known and named and some general models. The movements and effects of cancer in complex pathways and between complex groups of cells can be visualized by a neurosophic superhyperpath (-/SuperHyperCycle, SuperHyperStar, SuperHyperBipartite, SuperHyperMultipartite, SuperHyperWheel). The goal is to find EQUAL CONNECTIVE DOMINATION or Neutrosophic EQUAL CONNECTIVE DOMINATION for SuperHyperModels in it. Some general results are presented. Beyond that in SuperHyperStar, all possible Neutrosophic SuperHyperPaths have only two SuperHyperEdges, but it is not enough as having at least three SuperHyperEdges is necessary to form any style of cycle. There is no form of cycle, but it is literally a form of any cycle. It literally transforms and does not form.
\begin{question}
How to define ``SuperHyperNotions and to do research" to find the ``EQUAL CONNECTIVE DOMINATION Rate" of any cell or groups of cells based on fixed cell or fixed group of cells broadly, ``EQUAL CONNECTIVE DOMINATION Rate" based on fixed groups or fixed cells. Groups of groups of cells?
\end{question}
\begin{question}
What are the best descriptions for ``diagnosing cancer" in terms of these chaotic and dense super-hypermodels in which embedded concepts are depicted?
\end{question}
This motivation to find concepts to use in this dense model is called ``SuperHyperGraphs". So it motivates us to define different types of ``EQUAL CONNECTIVE DOMINATION" and ``neutrosophic EQUAL CONNECTIVE DOMINATION" over ``superhypergraph" and ``neutrosophic superhypergraph". Then this scientific research has taken more motivations to define SuperHyperClasses and find some connections among this SuperHyperNotion with other SuperHyperNotions. It motivates us to obtain examples and examples to clarify the framework of this scientific research. The general results and some of the results about some of the connections are the ways that the key point of this scientific research, ``diagnosis of cancer" is more understandable and clear.
\\
The framework of this research is as follows. First, I will introduce the basic definitions to clarify the basics. In the ``Introductions" subsection, basic definitions about SuperHyperGraphs and Neutrosophic SuperHyperGraph are introduced and discussed in depth. Basic concepts are thoroughly explained and illustrated, and sometimes a literature review is used to make sense of what is to come in the coming sections. The main definitions and their explanations, along with some results on the new concepts, EQUAL CONNECTIVE DOMINATION and Neutrosophic EQUAL CONNECTIVE DOMINATION, are specified in the sections ``EQUAL CONNECTIVE DOMINATION" and ``Neutrosophic EQUAL CONNECTIVE DOMINATION". In the concept of dealing with results and in EQUAL CONNECTIVE DOMINATION to create logic about the continuation of the scientific research, the ideas of SuperHyperUniform and Neutrosophic SuperHyperUniform are introduced and as their consequences, the corresponding SuperHyperClasses are specified to summarize the work done in this section, as ``Results on SuperHyperClasses" and ``Results on Neutrosophic SuperHyperClasses". Going back to the core concepts, clever steps towards common concepts to extend new concepts in new frameworks, SuperHyperGraph and Neutrosophic SuperHyperGraph, in ``Results on SuperHyperClasses" and ``Results on Neutrosophic SuperHyperClasses" sections. There is the initial scientific research on supergeneral relations and as the final and final part of the theoretical scientific research is available in the section ``General results". Some general SuperHyperRelations are fundamental and are known as fundamental SuperHyperNotions, as in ``General results" were extracted and discussed. ``EQUAL CONNECTIVE DOMINATION", ``Neutrosophic EQUAL CONNECTIVE DOMINATION", ``Results on SuperHyperClasses" and ``Results on Neutrosophic SuperHyperClasses". There are curious questions about what has been done about SuperHyperNotions to make sense of the superiority of this scientific research and to discover the word ``best" as a description and adjective of this scientific research as presented in the ``EQUAL CONNECTIVE DOMINATION" section. The keyword of this scientific research was presented in the section ``Applications in cancer diagnosis" with two cases and sub-sections ``Case 1: Initial steps towards SuperHyperBipartite as SuperHyperModel" and ``Case 2: Incremental steps towards SuperHyperMultiperdel as SuperHyper. In the ``open issues" section, there is a detailed examination and recognition of what was done in this scientific research and what happened in this scientific research in the form of ``questions" and ``issues" in order to understand this scientific research in an outstanding style, the advantages and limitations of this scientific research in addition to What has been done in this scientific research is stated in the ``conclusion and final remarks" section.

\section{Neutrosophic Preliminaries Of This Scientific Research On the Redeemed Ways}
In this section, the basic material in this scientific research, is referred to [Single Valued Neutrosophic Set](\textbf{Ref.}\cite{HG11s},Definition 2.2,p.2), [Neutrosophic Set](\textbf{Ref.}\cite{HG11s},Definition 2.1,p.1), [Neutrosophic SuperHyperGraph (NSHG)](\textbf{Ref.}\cite{HG11s},Definition 2.5,p.2), [Characterization of the Neutrosophic SuperHyperGraph (NSHG)](\textbf{Ref.}\cite{HG11s},Definition 2.7,p.3), [t-norm](\textbf{Ref.}\cite{HG11s}, Definition 2.7, p.3), and [Characterization of the Neutrosophic SuperHyperGraph (NSHG)](\textbf{Ref.}\cite{HG11s},Definition 2.7,p.3), [Neutrosophic Strength of the Neutrosophic SuperHyperPaths] (\textbf{Ref.}\cite{HG11s},Definition 5.3,p.7), and [Different Neutrosophic Types of Neutrosophic SuperHyperEdges (NSHE)] (\textbf{Ref.}\cite{HG11s},Definition 5.4,p.7). Also, the new ideas and their clarifications are addressed to \textbf{Ref.}\cite{HG11s}.
\\
In this subsection, the basic material which is used in this scientific research, is presented. Also, the new ideas and their clarifications are elicited.
\begin{definition}[Neutrosophic Set](\textbf{Ref.}\cite{HG11s},Definition 2.1,p.1).\\
 Let $X$ be a {\tiny Eulerian-Path-Cut} of points (objects) with generic elements in $X$ denoted by $x;$ then the \textbf{Neutrosophic set} $A$ (NS $A$) is an object having the form
$$A = \{< x:T_A(x),I_A(x),F_A(x)>, x\in X\}$$
where the functions $T, I, F: X\rightarrow]^-0,1\leftidx{^+}{[}$ define respectively the a \textbf{truth-membership function}, an \textbf{indeterminacy-membership function}, and a \textbf{falsity-membership function} of the element $x\in X$ to the set $A$ with the condition
$$\leftidx{^-}{0} \leq T_A(x)+I_A(x)+F_A(x)\leq 3^{+}.$$
The functions $T_A(x),I_A(x)$ and $F_A(x)$ are real standard or nonstandard subsets of $]^-0,1\leftidx{^+}{[}.$
\end{definition}
\begin{definition}[Single Valued Neutrosophic Set](\textbf{Ref.}\cite{HG11s},Definition 2.2,p.2).\\
 Let $X$ be a {\tiny Eulerian-Path-Cut} of points (objects) with generic elements in $X$ denoted by $x.$ A \textbf{single valued Neutrosophic set} $A$ (SVNS $A$) is characterized by truth-membership function $T_A(x),$ an indeterminacy-membership function $I_A(x),$ and a falsity-membership function $F_A(x).$ For each point $x$ in $X,$ $T_A(x),I_A(x),F_A(x)\in [0,1].$ A SVNS $A$ can be written as
 $$A = \{< x:T_A(x),I_A(x),F_A(x)>, x\in X\}.$$
\end{definition}
\begin{definition}
The \textbf{degree of truth-membership}, \textbf{indeterminacy-membership} and \textbf{falsity-membership of the subset} $X\subset A$ of the single valued Neutrosophic set  $A = \{< x:T_A(x),I_A(x),F_A(x)>, x\in X\}$:$$T_A(X)=\min[T_A(v_i),T_A(v_j)]_{v_i,v_j\in X},$$
$$I_A(X)=\min[I_A(v_i),I_A(v_j)]_{v_i,v_j\in X},$$
$$ \text{and}~F_A(X)=\min[F_A(v_i),F_A(v_j)]_{v_i,v_j\in X}.$$
\end{definition}
\begin{definition}
The \textbf{support} of $X\subset A$ of the single valued Neutrosophic set  $A = \{< x:T_A(x),I_A(x),F_A(x)>, x\in X\}$:
$$supp(X)=\{x\in X:~T_A(x),I_A(x),F_A(x)> 0\}.$$
\end{definition}
\begin{definition}[Neutrosophic SuperHyperGraph (NSHG)](\textbf{Ref.}\cite{HG11s},Definition 2.5,p.2).\\
Assume $V'$ is a given set. a \textbf{Neutrosophic SuperHyperGraph} (NSHG) $S$
is a pair $S=(V,E),$ where
\begin{itemize}
\item[$(i)$] $V=\{V_1,V_2,\ldots,V_n\}$ a finite set of finite single valued Neutrosophic subsets of $V';$
\item[$(ii)$] $V=\{(V_i,T_{V'}(V_i),I_{V'}(V_i),F_{V'}(V_i)):~T_{V'}(V_i),I_{V'}(V_i),F_{V'}(V_i)\geq0\},~(i=1,2,\ldots,n);$
\item[$(iii)$] $E=\{E_1,E_2,\ldots,E_{n'}\}$ a finite set of finite single valued Neutrosophic subsets of $V;$
\item[$(iv)$] $E=\{(E_{i'},T'_{V}(E_{i'}),I'_{V}(E_{i'}),F'_{V}(E_{i'})):~T'_{V}(E_{i'}),I'_{V}(E_{i'}),F'_{V}(E_{i'})\geq0\},~(i'=1,2,\ldots,n');$
\item[$(v)$] $V_i\neq\emptyset,~(i=1,2,\ldots,n);$
\item[$(vi)$] $E_{i'}\neq\emptyset,~(i'=1,2,\ldots,n');$
\item[$(vii)$] $\sum_{i}supp(V_i)=V,~(i=1,2,\ldots,n);$
\item[$(viii)$] $\sum_{i'}supp(E_{i'})=V,~(i'=1,2,\ldots,n');$   
\item[$(ix)$] and the following conditions hold:
$$T'_V(E_{i'})\leq\min[T_{V'}(V_i),T_{V'}(V_j)]_{V_i,V_j\in E_{i'}},$$
$$ I'_V(E_{i'})\leq\min[I_{V'}(V_i),I_{V'}(V_j)]_{V_i,V_j\in E_{i'}},$$
$$ \text{and}~F'_V(E_{i'})\leq\min[F_{V'}(V_i),F_{V'}(V_j)]_{V_i,V_j\in E_{i'}}$$
where $i'=1,2,\ldots,n'.$
\end{itemize}
Here the Neutrosophic SuperHyperEdges (NSHE) $E_{j'}$ and the Neutrosophic SuperHyperVertices (NSHV) $V_j$ are single valued Neutrosophic sets. $T_{V'}(V_i),I_{V'}(V_i),$ and $F_{V'}(V_i)$ denote the degree of truth-membership, the degree of indeterminacy-membership and the degree of falsity-membership the Neutrosophic SuperHyperVertex (NSHV) $V_i$ to the Neutrosophic SuperHyperVertex (NSHV) $V.$ $T'_{V}(E_{i'}),T'_{V}(E_{i'}),$ and $T'_{V}(E_{i'})$ denote the degree of truth-membership, the degree of indeterminacy-membership and the degree of falsity-membership of the Neutrosophic SuperHyperEdge (NSHE) $E_{i'}$ to the Neutrosophic SuperHyperEdge (NSHE) $E.$ Thus, the $ii'$th element of the \textbf{incidence matrix} of Neutrosophic SuperHyperGraph (NSHG) are of the form $(V_i,T'_{V}(E_{i'}),I'_{V}(E_{i'}),F'_{V}(E_{i'}))$, the sets V and E are crisp sets.
\end{definition}
\begin{example}\label{136EXM1}
 Assume a Neutrosophic SuperHyperGraph (NSHG) $S$ is a pair $S=(V,E)$ in the mentioned Neutrosophic Figures in every Neutrosophic items.
 \begin{itemize}
 \item On the Figure \eqref{136NSHG1}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic notion, is up. The Neutrosophic Algorithm is Neutrosophicly straightforward. $E_1$ and $E_3$ are some empty Neutrosophic SuperHyperEdges but $E_2$ is a loop Neutrosophic SuperHyperEdge and $E_4$ is a Neutrosophic SuperHyperEdge. Thus in the terms of Neutrosophic SuperHyperNeighbor, there's only one Neutrosophic SuperHyperEdge, namely, $E_4.$ The Neutrosophic SuperHyperVertex, $V_3$ is Neutrosophic isolated means that there's no Neutrosophic SuperHyperEdge has it as a Neutrosophic endpoint.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG1.png}  
   \caption{The Neutrosophic SuperHyperGraphs with a illustrated SuperHyperModeling on  Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG1}
\end{figure}
 \item On the Figure \eqref{136NSHG2}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic notion, is up. The Neutrosophic Algorithm is Neutrosophicly straightforward.  $E_1,E_2$ and $E_3$ are some empty Neutrosophic SuperHyperEdges but $E_4$ is a Neutrosophic SuperHyperEdge. Thus in the terms of Neutrosophic SuperHyperNeighbor, there's only one Neutrosophic SuperHyperEdge, namely, $E_4.$ The Neutrosophic SuperHyperVertex, $V_3$ is Neutrosophic isolated means that there's no Neutrosophic SuperHyperEdge has it as a Neutrosophic endpoint.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG2.png}  
   \caption{TThe Neutrosophic SuperHyperGraphs with a illustrated SuperHyperModeling on  Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG2}
 \end{figure}
  \item On the Figure \eqref{136NSHG3}, the SuperHyperNotion, namely, SuperHyperGirth, is up.  $E_1,E_2$ and $E_3$ are some empty SuperHyperEdges but $E_4$ is a SuperHyperEdge.  Thus in the terms of SuperHyperNeighbor, there’s only one SuperHyperEdge, namely, $E_4$.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG3.png}  
   \caption{The Neutrosophic SuperHyperGraphs with a illustrated SuperHyperModeling on  Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG3}
 \end{figure}
 \item On the Figure \eqref{136NSHG4}, there’s no empty SuperHyperEdge but $E_3$ are a loop SuperHyperEdge on $\{F\}$ and there are some SuperHyperEdges, namely, $E_1$ on $\{H,V_1,V_3\},$ alongside $E_2$ on $\{O,H,V_4,V_3\}$ and $E_4,E_5$ on $\{N,V_1,V_2,V_3,F\}.$
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG4.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a illustrated SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG4}
 \end{figure}
  \item On the Figure \eqref{136NSHG5},there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG5.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs  mentioned as the SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG5}
 \end{figure}
  \item On the Figure \eqref{136NSHG6}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG6.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a illustrated SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG6}
 \end{figure}
 \item On the Figure \eqref{136NSHG7}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG7.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs depicted SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG7}
 \end{figure}
 \item On the Figure \eqref{136NSHG8}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG8.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with dense SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG8}
 \end{figure}
 \item On the Figure \eqref{136NSHG9}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG9.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a messy SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG9}
 \end{figure}
 \item On the Figure \eqref{136NSHG10}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG10.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with highly-embedding-connected SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG10}
 \end{figure}
  \item On the Figure \eqref{136NSHG11}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG11.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG11}
 \end{figure}
 \item On the Figure \eqref{136NSHG12}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG12.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with highly-multiple-connected-style SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG12}
 \end{figure}
  \item On the Figure \eqref{136NSHG13}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
  \begin{figure}
 \includegraphics[width=100mm]{136NSHG13.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG13}
 \end{figure}
  \item On the Figure \eqref{136NSHG14}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG14.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG14}
 \end{figure}
  \item On the Figure \eqref{136NSHG15}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG15.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with Linearly-Connected SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG15}
 \end{figure}
  \item On the Figure \eqref{136NSHG16}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG16.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG16}
 \end{figure}
  \item On the Figure \eqref{136NSHG17}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
   \begin{figure}
 \includegraphics[width=100mm]{136NSHG17.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a Linearly-over-packed SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG17}
 \end{figure}
  \item On the Figure \eqref{136NSHG18}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
   \begin{figure}
 \includegraphics[width=100mm]{136NSHG18.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG18}
 \end{figure}
  \item On the Figure \eqref{136NSHG19}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG19.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG19}
 \end{figure}
  \item On the Figure \eqref{136NSHG20}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{136NSHG20.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{136NSHG20}
 \end{figure}
 \item On the Figure \eqref{95NHG1}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.

 \begin{figure}
 \includegraphics[width=100mm]{95NHG1.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{95NHG1}
 \end{figure}
 \item On the Figure \eqref{95NHG2}, there’s neither empty SuperHyperEdge nor loop SuperHyperEdge.
 \begin{figure}
 \includegraphics[width=100mm]{95NHG2.png}  
   \caption{The Connected Neutrosophic SuperHyperGraphs with a SuperHyperModeling on Recognition of Cancer in the Neutrosophic Example \eqref{136EXM1} }
 \label{95NHG2}
 \end{figure}
\end{itemize}
\end{example}

\begin{definition}[Characterization of the Neutrosophic SuperHyperGraph (NSHG)](\textbf{Ref.}\cite{HG11s},Definition 2.7,p.3).\\
 Assume a Neutrosophic SuperHyperGraph (NSHG) $S$
is a pair $S=(V,E).$ The Neutrosophic SuperHyperEdges (NSHE) $E_{i'}$ and the Neutrosophic SuperHyperVertices (NSHV) $V_i$ of Neutrosophic SuperHyperGraph (NSHG) $S=(V,E)$ could be characterized as follow-up items.
\begin{itemize}
 \item[$(i)$] If $|V_i|=1,$ then $V_i$ is called \textbf{vertex};
\item[$(ii)$] if $|V_i|\geq1,$ then $V_i$ is called \textbf{SuperVertex};
\item[$(iii)$] if for all $V_i$s are incident in $E_{i'},$ $|V_i|=1,$ and $|E_{i'}|=2,$  then $E_{i'}$ is called \textbf{edge};
\item[$(iv)$] if for all $V_i$s are incident in $E_{i'},$ $|V_i|=1,$ and $|E_{i'}|\geq2,$  then $E_{i'}$ is called \textbf{HyperEdge};
\item[$(v)$] if there's a $V_i$ is incident in $E_{i'}$ such that $|V_i|\geq1,$ and $|E_{i'}|=2,$  then $E_{i'}$ is called \textbf{SuperEdge};
\item[$(vi)$] if there's a $V_i$ is incident in $E_{i'}$ such that $|V_i|\geq1,$ and $|E_{i'}|\geq2,$  then $E_{i'}$ is called \textbf{SuperHyperEdge}.
\end{itemize}
\end{definition}
If we choose different types of binary operations, then we could get hugely diverse types of general forms of Neutrosophic SuperHyperGraph (NSHG).
\begin{definition}[t-norm](\textbf{Ref.}\cite{HG11s}, Definition 2.7, p.3).\\
 A binary operation $\otimes: [0, 1] \times [0, 1] \rightarrow [0, 1]$ is a \textbf{$t$-norm} if it satisfies the following for $x,y,z,w  \in [0, 1]$:
\begin{itemize}
\item[$(i)$] $1 \otimes x =x;$
\item[$(ii)$] $x \otimes y = y \otimes x;$
\item[$(iii)$] $x \otimes (y \otimes z) = (x \otimes y) \otimes z;$
\item[$(iv)$] If $ w \leq x$ and $y \leq z$ then $w \otimes y \leq x \otimes z.$
\end{itemize}
\end{definition}
\begin{definition}
The \textbf{degree of truth-membership}, \textbf{indeterminacy-membership} and \textbf{falsity-membership of the subset} $X\subset A$ of the single valued Neutrosophic set  $A = \{< x:T_A(x),I_A(x),F_A(x)>, x\in X\}$ (with respect to t-norm $T_{norm}$):$$T_A(X)=T_{norm}[T_A(v_i),T_A(v_j)]_{v_i,v_j\in X},$$
$$I_A(X)=T_{norm}[I_A(v_i),I_A(v_j)]_{v_i,v_j\in X},$$
$$ \text{and}~F_A(X)=T_{norm}[F_A(v_i),F_A(v_j)]_{v_i,v_j\in X}.$$
\end{definition}
\begin{definition}
The \textbf{support} of $X\subset A$ of the single valued Neutrosophic set  $A = \{< x:T_A(x),I_A(x),F_A(x)>, x\in X\}$:
$$supp(X)=\{x\in X:~T_A(x),I_A(x),F_A(x)> 0\}.$$
\end{definition}
\begin{definition}(General Forms of  Neutrosophic SuperHyperGraph (NSHG)).\\
Assume $V'$ is a given set. a \textbf{Neutrosophic SuperHyperGraph} (NSHG) $S$
is a pair $S=(V,E),$ where
\begin{itemize}
\item[$(i)$] $V=\{V_1,V_2,\ldots,V_n\}$ a finite set of finite single valued Neutrosophic subsets of $V';$
\item[$(ii)$] $V=\{(V_i,T_{V'}(V_i),I_{V'}(V_i),F_{V'}(V_i)):~T_{V'}(V_i),I_{V'}(V_i),F_{V'}(V_i)\geq0\},~(i=1,2,\ldots,n);$
\item[$(iii)$] $E=\{E_1,E_2,\ldots,E_{n'}\}$ a finite set of finite single valued Neutrosophic subsets of $V;$
\item[$(iv)$] $E=\{(E_{i'},T'_{V}(E_{i'}),I'_{V}(E_{i'}),F'_{V}(E_{i'})):~T'_{V}(E_{i'}),I'_{V}(E_{i'}),F'_{V}(E_{i'})\geq0\},~(i'=1,2,\ldots,n');$
\item[$(v)$] $V_i\neq\emptyset,~(i=1,2,\ldots,n);$
\item[$(vi)$] $E_{i'}\neq\emptyset,~(i'=1,2,\ldots,n');$
\item[$(vii)$] $\sum_{i}supp(V_i)=V,~(i=1,2,\ldots,n);$
\item[$(viii)$] $\sum_{i'}supp(E_{i'})=V,~(i'=1,2,\ldots,n').$   
\end{itemize}
Here the Neutrosophic SuperHyperEdges (NSHE) $E_{j'}$ and the Neutrosophic SuperHyperVertices (NSHV) $V_j$ are single valued Neutrosophic sets. $T_{V'}(V_i),I_{V'}(V_i),$ and $F_{V'}(V_i)$ denote the degree of truth-membership, the degree of indeterminacy-membership and the degree of falsity-membership the Neutrosophic SuperHyperVertex  (NSHV) $V_i$ to the Neutrosophic SuperHyperVertex (NSHV) $V.$ $T'_{V}(E_{i'}),T'_{V}(E_{i'}),$ and $T'_{V}(E_{i'})$ denote the degree of truth-membership, the degree of indeterminacy-membership and the degree of falsity-membership of the Neutrosophic SuperHyperEdge (NSHE) $E_{i'}$ to the Neutrosophic SuperHyperEdge (NSHE) $E.$ Thus, the $ii'$th element of the \textbf{incidence matrix} of Neutrosophic SuperHyperGraph (NSHG) are of the form $(V_i,T'_{V}(E_{i'}),I'_{V}(E_{i'}),F'_{V}(E_{i'}))$, the sets V and E are crisp sets.
\end{definition}

\begin{definition}[Characterization of the Neutrosophic SuperHyperGraph (NSHG)](\textbf{Ref.}\cite{HG11s},Definition 2.7,p.3).\\
 Assume a Neutrosophic SuperHyperGraph (NSHG) $S$
is a pair $S=(V,E).$ The Neutrosophic SuperHyperEdges (NSHE) $E_{i'}$ and the Neutrosophic SuperHyperVertices (NSHV) $V_i$ of Neutrosophic SuperHyperGraph (NSHG) $S=(V,E)$ could be characterized as follow-up items.
\begin{itemize}
 \item[$(i)$] If $|V_i|=1,$ then $V_i$ is called \textbf{vertex};
\item[$(ii)$] if $|V_i|\geq1,$ then $V_i$ is called \textbf{SuperVertex};
\item[$(iii)$] if for all $V_i$s are incident in $E_{i'},$ $|V_i|=1,$ and $|E_{i'}|=2,$  then $E_{i'}$ is called \textbf{edge};
\item[$(iv)$] if for all $V_i$s are incident in $E_{i'},$ $|V_i|=1,$ and $|E_{i'}|\geq2,$  then $E_{i'}$ is called \textbf{HyperEdge};
\item[$(v)$] if there's a $V_i$ is incident in $E_{i'}$ such that $|V_i|\geq1,$ and $|E_{i'}|=2,$  then $E_{i'}$ is called \textbf{SuperEdge};
\item[$(vi)$] if there's a $V_i$ is incident in $E_{i'}$ such that $|V_i|\geq1,$ and $|E_{i'}|\geq2,$  then $E_{i'}$ is called \textbf{SuperHyperEdge}.
\end{itemize}
\end{definition}
This SuperHyperModel is too messy and too dense. Thus there's a need to have some restrictions and conditions on SuperHyperGraph. The special case of this SuperHyperGraph makes the patterns and regularities.
\begin{definition}
 A graph is \textbf{SuperHyperUniform} if it's SuperHyperGraph and the number of elements of SuperHyperEdges are the same.
\end{definition}
To get more visions on SuperHyperUniform, the some SuperHyperClasses are introduced. It makes to have SuperHyperUniform more understandable.
\begin{definition}
 Assume a Neutrosophic SuperHyperGraph. There are some SuperHyperClasses as follows.
\begin{itemize}
 \item[(i).] It's \textbf{Neutrosophic SuperHyperPath } if it's only one SuperVertex as intersection amid two given SuperHyperEdges with two exceptions;
 \item[(ii).] it's \textbf{SuperHyperCycle} if it's only one SuperVertex as intersection amid two given SuperHyperEdges;
  \item[(iii).] it's \textbf{SuperHyperStar} it's only one SuperVertex as intersection amid all SuperHyperEdges;
   \item[(iv).] it's \textbf{SuperHyperBipartite} it's only one SuperVertex as intersection amid two given SuperHyperEdges and these SuperVertices, forming two separate sets, has no SuperHyperEdge in common;
    \item[(v).] it's \textbf{SuperHyperMultiPartite}  it's only one SuperVertex as intersection amid two given SuperHyperEdges and these SuperVertices, forming multi separate sets, has no SuperHyperEdge in common;
     \item[(vi).] it's \textbf{SuperHyperWheel} if it's only one SuperVertex as intersection amid two given SuperHyperEdges and one SuperVertex has one SuperHyperEdge with any common SuperVertex.

\end{itemize}
\end{definition}

\begin{example}\label{136EXM18a}
In the Figure \eqref{136NSHG18a}, the connected Neutrosophic SuperHyperPath $ESHP:(V,E),$ is highlighted and featured. The Neutrosophic SuperHyperSet,  in the Neutrosophic SuperHyperModel \eqref{136NSHG18a}, is the  notion.
\begin{figure}
\includegraphics[width=100mm]{136NSHG18.png}
\caption{a Neutrosophic SuperHyperPath Associated to the Notions in the Example \eqref{136EXM18a}}
\label{136NSHG18a}
\end{figure}
\end{example}

\begin{example}\label{136EXM19a}
In the Figure \eqref{136NSHG19a}, the connected Neutrosophic SuperHyperCycle $NSHC:(V,E),$ is highlighted and featured. The obtained Neutrosophic SuperHyperSet, in the Neutrosophic SuperHyperModel \eqref{136NSHG19a},
is up.
\begin{figure}
\includegraphics[width=100mm]{136NSHG19.png}
\caption{a Neutrosophic SuperHyperCycle Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{136EXM19a}}
\label{136NSHG19a}
\end{figure}
\end{example}

\begin{example}\label{136EXM20a}
In the Figure \eqref{136NSHG20a}, the connected Neutrosophic SuperHyperStar $ESHS:(V,E),$ is highlighted and featured. The obtained Neutrosophic SuperHyperSet, by the Algorithm in previous Neutrosophic result, of the  Neutrosophic SuperHyperVertices of the connected Neutrosophic SuperHyperStar $ESHS:(V,E),$ in the Neutrosophic SuperHyperModel \eqref{136NSHG20a}, is up.
\begin{figure}
\includegraphics[width=100mm]{136NSHG20.png}
\caption{a Neutrosophic SuperHyperStar Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{136EXM20a}}
\label{136NSHG20a}
\end{figure}
\end{example}

\begin{example}\label{136EXM21a}
In the Neutrosophic Figure \eqref{136NSHG21a}, the connected Neutrosophic SuperHyperBipartite $ESHB:(V,E),$ is Neutrosophic highlighted and Neutrosophic featured. The obtained Neutrosophic SuperHyperSet, by the Neutrosophic Algorithm in previous Neutrosophic result, of the Neutrosophic SuperHyperVertices of the connected Neutrosophic SuperHyperBipartite $ESHB:(V,E),$ in the Neutrosophic SuperHyperModel \eqref{136NSHG21a}, is up.
\begin{figure}
\includegraphics[width=100mm]{136NSHG21.png}
\caption{Neutrosophic SuperHyperBipartite Neutrosophic Associated to the Neutrosophic Notions in the Example \eqref{136EXM21a}}
\label{136NSHG21a}
\end{figure}
\end{example}
\begin{example}\label{136EXM22a}
In the Figure \eqref{136NSHG22a}, the connected Neutrosophic SuperHyperMultipartite $ESHM:(V,E),$ is highlighted and Neutrosophic featured. The obtained Neutrosophic SuperHyperSet, by the Algorithm in previous Neutrosophic result, of the Neutrosophic SuperHyperVertices of the connected Neutrosophic SuperHyperMultipartite $ESHM:(V,E),$ in the Neutrosophic SuperHyperModel \eqref{136NSHG22a}, is up.
\begin{figure}
\includegraphics[width=100mm]{136NSHG22.png}
\caption{a Neutrosophic  SuperHyperMultipartite Associated to the Notions in the Example \eqref{136EXM22a}}
\label{136NSHG22a}
\end{figure}
\end{example}
\begin{example}\label{136EXM23a}
In the Neutrosophic Figure \eqref{136NSHG23a}, the connected Neutrosophic SuperHyperWheel $NSHW:(V,E),$ is Neutrosophic highlighted and featured. The obtained Neutrosophic SuperHyperSet, by the Algorithm in previous result, of the Neutrosophic SuperHyperVertices of the connected Neutrosophic SuperHyperWheel $ESHW:(V,E),$
in the Neutrosophic SuperHyperModel \eqref{136NSHG23a}, is up.
\begin{figure}
\includegraphics[width=100mm]{136NSHG23.png}
\caption{a Neutrosophic SuperHyperWheel Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{136EXM23a}}
\label{136NSHG23a}
\end{figure}
            \end{example}

\begin{definition}
 Let a pair $S=(V,E)$ be a Neutrosophic SuperHyperGraph (NSHG) $S.$ Then a sequence of Neutrosophic SuperHyperVertices (NSHV) and Neutrosophic SuperHyperEdges (NSHE)
 $$V_1,E_1,V_2,E_2,V_3,\ldots,V_{s-1},E_{s-1},V_s$$
  is called a \textbf{Neutrosophic  SuperHyperPath } (NSHP) from Neutrosophic SuperHyperVertex  (NSHV) $V_1$ to Neutrosophic SuperHyperVertex (NSHV) $V_s$ if either of following conditions hold:
  \begin{itemize}
 \item[$(i)$]  $V_i,V_{i+1}\in E_{i'};$
 \item[$(ii)$]   there's a vertex $v_i\in V_i$ such that $v_i,V_{i+1}\in E_{i'};$
  \item[$(iii)$]  there's a SuperVertex $V'_i \in V_i$ such that $V'_i,V_{i+1}\in E_{i'};$
   \item[$(iv)$]   there's a vertex $v_{i+1}\in V_{i+1}$ such that $V_i,v_{i+1}\in E_{i'};$
  \item[$(v)$]  there's a SuperVertex $V'_{i+1} \in V_{i+1}$ such that $V_i,V'_{i+1}\in E_{i'};$
   \item[$(vi)$]   there are a vertex $v_i\in V_i$ and a vertex $v_{i+1}\in V_{i+1}$ such that $v_i,v_{i+1}\in E_{i'};$
  \item[$(vii)$]   there are a vertex $v_i\in V_i$ and a SuperVertex $V'_{i+1} \in V_{i+1}$ such that $v_i,V'_{i+1}\in E_{i'};$  
     \item[$(viii)$]   there are a SuperVertex $V'_i\in V_i$ and a vertex $v_{i+1}\in V_{i+1}$ such that $V'_i,v_{i+1}\in E_{i'};$
  \item[$(ix)$]   there are a SuperVertex $V'_i\in V_i$ and a SuperVertex $V'_{i+1} \in V_{i+1}$ such that $V'_i,V'_{i+1}\in E_{i'}.$  
\end{itemize}
\end{definition}

\begin{definition}(Characterization of the Neutrosophic  SuperHyperPaths).\\
 Assume a Neutrosophic SuperHyperGraph (NSHG) $S$
is a pair $S=(V,E).$ a Neutrosophic  SuperHyperPath  (NSHP) from Neutrosophic SuperHyperVertex (NSHV) $V_1$ to Neutrosophic SuperHyperVertex (NSHV) $V_s$ is sequence of Neutrosophic SuperHyperVertices (NSHV) and Neutrosophic SuperHyperEdges (NSHE)
 $$V_1,E_1,V_2,E_2,V_3,\ldots,V_{s-1},E_{s-1},V_s,$$
could be characterized as follow-up items.
\begin{itemize}
 \item[$(i)$] If for all $V_i,E_{j'},$ $|V_i|=1,~|E_{j'}|=2,$ then NSHP is called \textbf{path};
\item[$(ii)$] if for all $E_{j'},$ $|E_{j'}|=2,$  and there's $V_i,$ $|V_i|\geq1,$ then NSHP is called \textbf{SuperPath};
\item[$(iii)$] if for all $V_i,E_{j'},$ $|V_i|=1,~|E_{j'}|\geq2,$ then NSHP is called \textbf{HyperPath};
\item[$(iv)$] if there are $V_i,E_{j'},$ $|V_i|\geq1,|E_{j'}|\geq2,$ then NSHP is called \textbf{Neutrosophic SuperHyperPath }.
\end{itemize}
\end{definition}
\begin{definition}[Neutrosophic Strength of the Neutrosophic SuperHyperPaths](\textbf{Ref.}\cite{HG11s},Definition 5.3,p.7).\\
 Assume a Neutrosophic SuperHyperGraph (NSHG) $S$
is a pair $S=(V,E).$ A Neutrosophic SuperHyperPath (NSHP) from Neutrosophic SuperHyperVertex (NSHV) $V_1$ to Neutrosophic SuperHyperVertex (NSHV) $V_s$ is sequence of Neutrosophic SuperHyperVertices (NSHV) and Neutrosophic SuperHyperEdges (NSHE)
 $$V_1,E_1,V_2,E_2,V_3,\ldots,V_{s-1},E_{s-1},V_s,$$
have
\begin{itemize}
 \item[$(i)$]\textbf{Neutrosophic t-strength} $(\min\{T(V_i)\},m,n)_{i=1}^s$;
\item[$(ii)$] \textbf{Neutrosophic i-strength} $(m,\min\{I(V_i)\},n)_{i=1}^s;$
\item[$(iii)$] \textbf{Neutrosophic f-strength} $(m,n,\min\{F(V_i)\})_{i=1}^s;$
\item[$(iv)$] \textbf{Neutrosophic strength} $(\min\{T(V_i)\},\min\{I(V_i)\},\min\{F(V_i)\})_{i=1}^s.$
\end{itemize}
\end{definition}

\begin{definition}[Different Neutrosophic Types of Neutrosophic SuperHyperEdges (NSHE)](\textbf{Ref.}\cite{HG11s},Definition 5.4,p.7).\\
 Assume a Neutrosophic SuperHyperGraph (NSHG) $S$
is a  pair $S=(V,E).$ Consider a Neutrosophic SuperHyperEdge (NSHE) $E=\{V_1,V_2,\ldots,V_s\}.$
Then $E$ is called
\begin{itemize}
  \item[$(ix)$] \textbf{Neutrosophic t-connective} if $T(E)\geq$ maximum number of Neutrosophic t-strength of SuperHyperPath (NSHP) from Neutrosophic SuperHyperVertex (NSHV) $V_i$ to Neutrosophic SuperHyperVertex (NSHV) $V_j$ where $1\leq i,j\leq s;$
\item[$(x)$] \textbf{Neutrosophic i-connective} if $I(E)\geq$ maximum number of Neutrosophic i-strength of SuperHyperPath (NSHP) from Neutrosophic SuperHyperVertex (NSHV) $V_i$ to Neutrosophic SuperHyperVertex (NSHV) $V_j$ where $1\leq i,j\leq s;$
\item[$(xi)$] \textbf{Neutrosophic f-connective} if $F(E)\geq$ maximum number of Neutrosophic f-strength of SuperHyperPath (NSHP) from Neutrosophic SuperHyperVertex (NSHV) $V_i$ to Neutrosophic SuperHyperVertex (NSHV) $V_j$ where $1\leq i,j\leq s;$
\item[$(xii)$] \textbf{Neutrosophic connective} if $(T(E),I(E),F(E))\geq$ maximum number of Neutrosophic strength of SuperHyperPath (NSHP) from Neutrosophic SuperHyperVertex (NSHV) $V_i$ to Neutrosophic SuperHyperVertex (NSHV) $V_j$ where $1\leq i,j\leq s.$
\end{itemize}
\end{definition}

For the sake of having a Neutrosophic notion, there's a need to ``\textbf{redefine}'' the notion of ``Neutrosophic SuperHyperGraph''. The SuperHyperVertices and the SuperHyperEdges are assigned by the labels from the letters of the alphabets. In this procedure, there's the usage of the position of labels to assign to the values.
\begin{definition}\label{136DEF1}
 Assume a Neutrosophic SuperHyperGraph (SHG) $S$
is a pair $S=(V,E).$  It's redefined \textbf{Neutrosophic SuperHyperGraph} if the Table \eqref{136TBL3} holds.
 \begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperGraph Mentioned in the Definition \eqref{136DEF1}}
\begin{tabular}[t]{c|c}
\hline
The Values of The Vertices & The Number of Position in Alphabet\\
\hline
The Values of The SuperVertices&The maximum Values of Its Vertices\\
\hline
The Values of The Edges&The maximum Values of Its Vertices\\
\hline
The Values of The HyperEdges&The maximum Values of Its Vertices\\
\hline
The Values of The SuperHyperEdges&The maximum Values of Its Endpoints \\
\hline
\end{tabular}
\label{136TBL3}
\end{table}
\end{definition}
It's useful to define a ``Neutrosophic'' version of SuperHyperClasses. Since there's more ways to get Neutrosophic type-results to make a Neutrosophic more understandable.
\begin{definition}\label{136DEF2}
 Assume a Neutrosophic SuperHyperGraph (SHG) $S$
is a pair $S=(V,E).$ There are some \textbf{Neutrosophic SuperHyperClasses} if the Table \eqref{136TBL4} holds. Thus  Neutrosophic SuperHyperPath ,  notion, SuperHyperStar, SuperHyperBipartite, SuperHyperMultiPartite, and   SuperHyperWheel, are
 \textbf{Neutrosophic SuperHyperPath},  \textbf{Neutrosophic SuperHyperCycle}, \textbf{Neutrosophic SuperHyperStar}, \textbf{Neutrosophic SuperHyperBipartite}, \textbf{Neutrosophic SuperHyperMultiPartite}, and \textbf{Neutrosophic SuperHyperWheel} if the Table \eqref{136TBL4} holds.
 \begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperGraph, Mentioned in the Definition \eqref{136DEF2}}
\begin{tabular}[t]{c|c}
\hline
The Values of The Vertices & The Number of Position in Alphabet\\
\hline
The Values of The SuperVertices&The maximum Values of Its Vertices\\
\hline
The Values of The Edges&The maximum Values of Its Vertices\\
\hline
The Values of The HyperEdges&The maximum Values of Its Vertices\\
\hline
The Values of The SuperHyperEdges&The maximum Values of Its Endpoints \\
\hline
\end{tabular}
\label{136TBL4}
\end{table}
\end{definition}
It's useful to define a ``Neutrosophic'' version of a Neutrosophic notion. Since there's more ways to get type-results to make a Neutrosophic notion more Neutrosophicly understandable.
\\
For the sake of having a Neutrosophic notion, there's a need to ``\textbf{redefine}'' the Neutrosophic notion of ``Neutrosophic notion''. The SuperHyperVertices and the SuperHyperEdges are assigned by the labels from the letters of the alphabets. In this procedure, there's the usage of the position of labels to assign to the values.
\begin{definition}\label{136DEF1}
 Assume a notion. It's redefined a \textbf{Neutrosophic notion} if the Table \eqref{136TBL1} holds.  \begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperGraph Mentioned in the Definition \eqref{136DEF1}}
\begin{tabular}[t]{c|c}
\hline
The Values of The Vertices & The Number of Position in Alphabet\\
\hline
The Values of The SuperVertices&The maximum Values of Its Vertices\\
\hline
The Values of The Edges&The maximum Values of Its Vertices\\
\hline
The Values of The HyperEdges&The maximum Values of Its Vertices\\
\hline
The Values of The SuperHyperEdges&The maximum Values of Its Endpoints \\
\hline
\end{tabular}
\label{136TBL1}
\end{table}
\end{definition}

 \begin{example}
Referred to the Example \eqref{136EXM1}, assume a Neutrosophic SuperHyperGraph (SHG) $S$ is a pair $S=(V,E)$ in the mentioned Neutrosophic Figures in every Neutrosophic items.
 \begin{itemize}
 \item On the Figure \eqref{136NSHG1}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperGraph (SHG), is up in the illustration of the Table \eqref{136TBL1136NSHG1}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperGraph}
 \begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ & $(0.13,0.13,0.13)$ & $E_1$ & $(0,0,0)$\\
\hline
$V_2$ & $(0.13,0.13,0.13)$ & $E_2$ & $(0.13,0.13,0.13)$\\
\hline
$V_3$ & $(0.15,0.15,0.15)$ & $E_3$ & $(0,0,0)$\\
\hline
$V_4$ & $(0.14,0.14,0.14)$ & $E_4$ & $(0.14,0.14,0.14)$\\
\hline
\end{tabular}
\label{136TBL1136NSHG1}
\end{table}

 \item On the Figure \eqref{136NSHG2}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperGraph (SHG), is up in the illustration of the Table \eqref{136TBL1136NSHG2}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperGraph}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ & $(0.13,0.13,0.13)$ & $E_1$ & $(0,0,0)$\\
\hline
$V_2$ & $(0.03,0.03,0.03)$ & $E_2$ & $(0,0,0)$\\
\hline
$V_3$ & $(0.15,0.15,0.15)$ & $E_3$ & $(0,0,0)$\\
\hline
$V_4$ & $(0.14,0.14,0.14)$ & $E_4$ & $(0.14,0.14,0.14)$\\
\hline
\end{tabular}
\label{136TBL1136NSHG2}
\end{table}

  \item On the Figure \eqref{136NSHG3}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperGraph (SHG), is up in the illustration of the Table \eqref{136TBL1136NSHG3}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperGraph}
 \begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ & $(0.13,0.13,0.13)$ & $E_1$ & $(0,0,0)$\\
\hline
$V_2$ & $(0.11,0.11,0.11)$ & $E_2$ & $(0,0,0)$\\
\hline
$V_3$ & $(0.14,0.14,0.14)$ & $E_3$ & $(0,0,0)$\\
\hline
- & - & $E_4$ &  $(0.14,0.14,0.14)$\\
\hline
\end{tabular}
\label{136TBL1136NSHG3}
\end{table}

 \item On the Figure \eqref{136NSHG4}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperGraph (SHG), is up in the illustration of the Table \eqref{136TBL1136NSHG4}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperGraph}
 \begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ & $(0.13,0.13,0.13)$ & $E_1$ & $(0.08,0.08,0.08)$ \\
\hline
$V_2$ & $(0.11,0.11,0.11)$ & $E_2$ & $(0.15,0.15,0.15)$\\
\hline
$V_3$ & $(0.05,0.05,0.05)$ & $E_3$ & $(0,0,0)$\\
\hline
$V_4$ & $(0.12,0.12,0.12)$ & $E_4$ &  $(0.14,0.14,0.14)$\\
\hline
$\{F\}$ & $(0.06,0.06,0.06)$ & $E_5$ &  $(0.14,0.14,0.14)$\\
\hline
$\{H\}$ & $(0.08,0.08,0.08)$ & - &  -\\
\hline
$\{N\}$ & $(0.14,0.14,0.14)$ & - &  -\\
\hline
$\{O\}$ & $(0.15,0.15,0.15)$ & - &  -\\
\hline
\end{tabular}
\label{136TBL1136NSHG4}
\end{table}

\end{itemize}
\end{example}

\section{Main Resultant}           
           
 
\begin{definition}(Different Neutrosophic Types of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}). \\

Let a Neutrosophic SuperHyperGraph (SHG) $S$ be a pair $S=(V,E).$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_2,\ldots,V_s\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} if the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'}T(V_i),\sum_{V_i\in V'}I(V_i),\sum_{V_i\in V'}F(V_i))|
\\&&
=\max_{V''\subseteq V_{NSHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~\forall V_i\in V_{NSHG},\exists V_j\in V'':
\\&&T'_V(V_i,V_j\in E_{i'})= \min[T_{V}(V'_i),T_{V}(V'_j)]_{V'_i,V'_j\in P:V_i,\ldots,V_j},
\\&& I'_V(V_i,V_j\in E_{i'})=\min[I_{V}(V'_i),I_{V}(V'_j)]_{V_i,V_j\in E_{i'}}_{V'_i,V'_j\in P:V_i,\ldots,V_j},
\\&& \text{and}~F'_V(E_{i'})(V_i,V_j\in E_{i'})=\min[F_{V}(V'_i),F_{V}(V'_j)]_{V_i,V_j\in E_{i'}}_{V'_i,V'_j\in P:V_i,\ldots,V_j}
 \\&& \}
\end{eqnarray*}
\end{definition}
       
         \begin{figure}
\includegraphics[width=100mm]{300SHG1.png}
\caption{a Neutrosophic SuperHyperMultipartite Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM1}}
\label{300SHG1}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG2.png}
\caption{a Neutrosophic SuperHyperMultipartite Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM1}}
\label{300SHG2}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG3.png}
\caption{a Neutrosophic SuperHyperMultipartite Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM1}}
\label{300SHG3}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG4.png}
\caption{a Neutrosophic SuperHyperMultipartite Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM1}}
\label{300SHG4}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG5.png}
\caption{a Neutrosophic SuperHyperMultipartite Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM1}}
\label{300SHG5}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG6.png}
\caption{a Neutrosophic SuperHyperMultipartite Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM1}}
\label{300SHG6}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG7.png}
\caption{a Neutrosophic SuperHyperMultipartite Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM1}}
\label{300SHG7}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG8.png}
\caption{a Neutrosophic SuperHyperCycle Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM2}}
\label{300SHG8}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG9.png}
\caption{a Neutrosophic SuperHyperCycle Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM2}}
\label{300SHG9}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG10.png}
\caption{a Neutrosophic SuperHyperCycle Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM2}}
\label{300SHG10}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG11.png}
\caption{a Neutrosophic SuperHyperCycle Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM2}}
\label{300SHG11}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG12.png}
\caption{a Neutrosophic SuperHyperCycle Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM2}}
\label{300SHG12}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG13.png}
\caption{a Neutrosophic SuperHyperCycle Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM2}}
\label{300SHG13}
\end{figure}
\begin{figure}
\includegraphics[width=100mm]{300SHG14.png}
\caption{a Neutrosophic SuperHyperCycle Neutrosophic Associated to the Neutrosophic Notions in the Neutrosophic Example \eqref{300EXM2}}
\label{300SHG14}
\end{figure}
\begin{example}\label{300EXM1}
Assume a Neutrosophic SuperHyperMultipartite (SHG) $S$ is a pair $S=(V,E)$ in the mentioned Neutrosophic Figures in every Neutrosophic items.
\begin{itemize}
 
 
\item On the Figure \eqref{300SHG1}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperMultipartite (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG1}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperWheel}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.26,0.26,0.26)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.26,0.26,0.26)$ & $E_3$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.26,0.26,0.26)$ &$V_5$ & $(0.26,0.26,0.26)$\\
\hline
$V_6$ & $(0.26,0.26,0.26)$ &$V_7$ &  $(0.26,0.26,0.26)$\\
\hline
\end{tabular}
\label{300TBL1300SHG1}
\end{table}

Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperPart $\{V_i\}_{i=1}^7$ and non-SuperHyperPart $\{V_i\}_{i=7}^{12}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_4\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_1,V_4\}}T(V_i),\sum_{V_i\in V'=\{V_1,V_4\}}I(V_i),\sum_{V_i\in V'=\{V_1,V_4\}}F(V_i))|
\\&&
=(0.52,0.52,0.52)=
\\&&
=\max_{V''\subseteq V_{SHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~ V_5\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_5),T_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_5),I_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_5),F_{V'}(V_1)]_{V_5,V_1\in E_2},
 \\&& ,
\\&&
~ V_6\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_5),T_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_5),I_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_5),F_{V'}(V_1)]_{V_5,V_1\in E_2},
 \\&& ,
\\&&
~ V_7\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_7),T_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_7),I_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_2),F_{V'}(V_1)]_{V_7,V_6\in E_2},
 \\&& ,
\\&&
~ V_2\in V_{SHG}\setminus V'',\exists V_4\in V'':
\\&&T'_V(E_1)=0.26=\min[T_{V'}(V_2),T_{V'}(V_4)]_{V_2,V_4\in E_1},
\\&& I'_V(E_1)=0.26=\min[I_{V'}(V_2),I_{V'}(V_4)]_{V_2,V_4\in E_1},
\\&& \text{and}~F'_V(E_1)=0.26=\min[F_{V'}(V_2),F_{V'}(V_4)]_{V_2,V_4\in E_1},
 \\&& ,
\\&&
~ V_3\in V_{SHG}\setminus V'',\exists V_4\in V'':
\\&&T'_V(E_1)=0.26=\min[T_{V'}(V_3),T_{V'}(V_4)]_{V_3,V_4\in E_1},
\\&& I'_V(E_1)=0.26=\min[I_{V'}(V_3),I_{V'}(V_4)]_{V_3,V_4\in E_1},
\\&& \text{and}~F'_V(E_1)=0.26=\min[F_{V'}(V_3),F_{V'}(V_4)]_{V_3,V_4\in E_1},
 \\&& \}
\end{eqnarray*}

\item On the Figure \eqref{300SHG2}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperMultipartite (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG2}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperWheel}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.26,0.26,0.26)$ & $E_3$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.26,0.26,0.26)$ &$V_5$ & $(0.26,0.26,0.26)$\\
\hline
$V_6$ & $(0.26,0.26,0.26)$ &$V_7$ &  $(0.26,0.26,0.26)$\\
\hline
\end{tabular}
\label{300TBL1300SHG2}
\end{table}

Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperPart $\{V_i\}_{i=1}^7$ and non-SuperHyperPart $\{V_i\}_{i=7}^{12}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_2,V_4\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_1,V_2,V_4\}}T(V_i),\sum_{V_i\in V'=\{V_1,V_2,V_4\}}I(V_i),\sum_{V_i\in V'=\{V_1,V_2,V_4\}}F(V_i))|
\\&&
=(0.76,0.76,0.76)=
\\&&
=\max_{V''\subseteq V_{SHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~ V_5\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_5),T_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_5),I_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_5),F_{V'}(V_1)]_{V_5,V_1\in E_2},
 \\&& ,
\\&&
~ V_6\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_5),T_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_5),I_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_5),F_{V'}(V_1)]_{V_5,V_1\in E_2},
 \\&& ,
\\&&
~ V_7\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_7),T_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_7),I_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_2),F_{V'}(V_1)]_{V_7,V_6\in E_2},
 \\&& ,
\\&&
~ V_3\in V_{SHG}\setminus V'',\exists V_4\in V'':
\\&&T'_V(E_1)=0.26=\min[T_{V'}(V_3),T_{V'}(V_4)]_{V_3,V_4\in E_1},
\\&& I'_V(E_1)=0.26=\min[I_{V'}(V_3),I_{V'}(V_4)]_{V_3,V_4\in E_1},
\\&& \text{and}~F'_V(E_1)=0.26=\min[F_{V'}(V_3),F_{V'}(V_4)]_{V_3,V_4\in E_1},
 \\&& \}
\end{eqnarray*}

\item On the Figure \eqref{300SHG3}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperMultipartite (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG3}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperWheel}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.24,0.24,0.24)$ & $E_3$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.26,0.26,0.26)$ &$V_5$ & $(0.26,0.26,0.26)$\\
\hline
$V_6$ & $(0.26,0.26,0.26)$ &$V_7$ &  $(0.26,0.26,0.26)$\\
\hline
\end{tabular}
\label{300TBL1300SHG3}
\end{table}

Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperPart $\{V_i\}_{i=1}^7$ and non-SuperHyperPart $\{V_i\}_{i=7}^{12}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_2,V_3,V_4\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4\}}
\\&&
T(V_i),\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4\}}I(V_i),\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4\}}F(V_i))|
\\&&
=(1,1,1)=
\\&&
=\max_{V''\subseteq V_{SHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~ V_5\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_5),T_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_5),I_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_5),F_{V'}(V_1)]_{V_5,V_1\in E_2},
 \\&& ,
\\&&
~ V_6\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_5),T_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_5),I_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_5),F_{V'}(V_1)]_{V_5,V_1\in E_2},
 \\&& ,
\\&&
~ V_7\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_7),T_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_7),I_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_2),F_{V'}(V_1)]_{V_7,V_6\in E_2},
 \\&&
 \}
\end{eqnarray*}

\item On the Figure \eqref{300SHG4}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperMultipartite (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG4}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperWheel}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.24,0.24,0.24)$ & $E_3$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.26,0.26,0.26)$ &$V_5$ & $(0.24,0.24,0.24)$\\
\hline
$V_6$ & $(0.26,0.26,0.26)$ &$V_7$ &  $(0.26,0.26,0.26)$\\
\hline
\end{tabular}
\label{300TBL1300SHG4}
\end{table}

Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperPart $\{V_i\}_{i=1}^7$ and non-SuperHyperPart $\{V_i\}_{i=7}^{12}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_2,V_3,V_4,V_5\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4,V_5\}}T(V_i),
\\&&
\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4,V_5\}}I(V_i),\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4,V_5\}}F(V_i))|
\\&&
=(1.24,1.24,1.24)=
\\&&
=\max_{V''\subseteq V_{SHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~ V_6\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_5),T_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_5),I_{V'}(V_1)]_{V_5,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_5),F_{V'}(V_1)]_{V_5,V_1\in E_2},
 \\&& ,
\\&&
~ V_7\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_7),T_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_7),I_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_2),F_{V'}(V_1)]_{V_7,V_6\in E_2},
 \\&&
 \}
\end{eqnarray*}

\item On the Figure \eqref{300SHG5}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperMultipartite (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG5}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperWheel}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.24,0.24,0.24)$ & $E_3$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.26,0.26,0.26)$ &$V_5$ & $(0.24,0.24,0.24)$\\
\hline
$V_6$ & $(0.24,0.24,0.24)$ &$V_7$ &  $(0.26,0.26,0.26)$\\
\hline
\end{tabular}
\label{300TBL1300SHG5}
\end{table}

Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperPart $\{V_i\}_{i=1}^7$ and non-SuperHyperPart $\{V_i\}_{i=7}^{12}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_2,V_3,V_4,V_5,V_6\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4,V_5,V_6\}}T(V_i),
\\&&
\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4,V_5,V_6\}}I(V_i),\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4,V_5,V_6\}}F(V_i))|
\\&&
=(1.48,1.48,1.48)=
\\&&
=\max_{V''\subseteq V_{SHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~ V_7\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&T'_V(E_2)=0.26=\min[T_{V'}(V_7),T_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_7),I_{V'}(V_1)]_{V_7,V_1\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_2),F_{V'}(V_1)]_{V_7,V_6\in E_2},
 \\&&
 \}
\end{eqnarray*}

\item On the Figure \eqref{300SHG6}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperMultipartite (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG6}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperWheel}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.24,0.24,0.24)$ & $E_3$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.26,0.26,0.26)$ &$V_5$ & $(0.24,0.24,0.24)$\\
\hline
$V_6$ & $(0.24,0.24,0.24)$ &$V_7$ &  $(0.24,0.24,0.24)$\\
\hline
\end{tabular}
\label{300TBL1300SHG6}
\end{table}

Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperPart $\{V_i\}_{i=1}^7$ and non-SuperHyperPart $\{V_i\}_{i=7}^{12}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_2,V_3,V_4,V_5,V_6,V_7\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4,V_5,V_6,V_7\}}T(V_i),
\\&&
\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4,V_5,V_6,V_7\}}I(V_i),\sum_{V_i\in V'=\{V_1,V_2,V_3,V_4,V_5,V_6,V_7\}}F(V_i))|
\\&&
=(1.72,1.72,1.72).
\end{eqnarray*}

 

\item On the Figure \eqref{300SHG7}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperMultipartite (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG7}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperWheel}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.24,0.24,0.24)$ & $E_3$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.26,0.26,0.26)$ &$V_5$ & $(0.24,0.24,0.24)$\\
\hline
$V_6$ & $(0.24,0.24,0.24)$ &$V_7$ &  $(0.24,0.24,0.24)$\\
\hline
\end{tabular}
\label{300TBL1300SHG7}
\end{table}

Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperPart $\{V_i\}_{i=1}^7$ and non-SuperHyperPart $\{V_i\}_{i=7}^{12}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_i\}_{i=1}^{12}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_i\}_{i=1}^{12}}T(V_i),
\\&&
\sum_{V_i\in V'=\{V_i\}_{i=1}^{12}}I(V_i),\sum_{V_i\in V'=\{V_i\}_{i=1}^{12}}F(V_i))|
\\&&
=(2.88,2.88,2.88).
\end{eqnarray*}

\end{itemize}

 

\end{example}

\begin{example}\label{300EXM2}
Assume a Neutrosophic SuperHyperCycle (SHG) $S$ is a pair $S=(V,E)$ in the mentioned Neutrosophic Figures in every Neutrosophic items.
\begin{itemize}
 
 
\item On the Figure \eqref{300SHG8}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperCycle (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG8}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperStar}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.26,0.26,0.26)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.26,0.26,0.26)$ & $E_{i_{i=3^7}}$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.26,0.26,0.26)$ &$V_5$ & $(0.26,0.26,0.26)$\\
\hline
$V_6$ & $(0.26,0.26,0.26)$ &$V_7$ &  $(0.26,0.26,0.26)$\\
\hline
\end{tabular}
\label{300TBL1300SHG8}
\end{table}
Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperExternal $\{V_i\}_{i=1}^7$ and non-SuperHyperInternal $\{V_i\}_{i=8}^{34}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_3,V_5,V_7\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}}\}}T(V_i),
\\&&
\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}}\}}I(V_i),
\\&&
\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}}\}}F(V_i))|
\\&&
=(1.04,1.04,1.04)=
\\&&
=\max_{V''\subseteq V_{SHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~
\\&&
V_{i_{i=11,15,19,24,32-34}}\in V_{SHG}\setminus V'',\exists V_1\in V'':
\\&&
T'_V(E_1)=0.26=\min[T_{V'}(V_{i_{i=11,15,19,24,32-34}}),T_{V'}(V_1)]_{V_{i_{i=11,15,19,24,32-34}},V_1\in E_1},
\\&& I'_V(E_1)=0.26=\min[I_{V'}(V_{i_{i=11,15,19,24,32-34}}),I_{V'}(V_1)]_{V_{i_{i=11,15,19,24,32-34}},V_1\in E_1},
\\&& \text{and}~F'_V(E_1)=0.26=\min[F_{V'}(V_{i_{i=11,15,19,24,32-34}}),F_{V'}(V_1)]_{V_{i_{i=11,15,19,24,32-34}},V_1\in E_1},
 \\&& ,
 T'_V(E_7)=0.26=\min[T_{V'}(V_{i_{i=32-34}}),T_{V'}(V_1)]_{V_{i_{i=32-34}},V_1\in E_7},
\\&& I'_V(E_7)=0.26=\min[I_{V'}(V_{i_{i=32-34}}),I_{V'}(V_1)]_{V_{i_{i=32-34}},V_1\in E_7},
\\&& \text{and}~F'_V(E_7)=0.26=\min[F_{V'}(V_{i_{i=32-34}}),F_{V'}(V_1)]_{V_{i_{i=32-34}},V_1\in E_7},
 \\&& ,
\\&&
V_{i_{i=2,32,8-10,4,12-14}}\in V_{SHG}\setminus V'',\exists V_3\in V'':
\\&&
T'_V(E_2)=0.26=\min[T_{V'}(V_{i_{i=2,32,8-10}}),T_{V'}(V_3)]_{V_{i_{i=2,32,8-10}},V_3\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_{i_{i=12,32,8-10}}),I_{V'}(V_3)]_{V_{i_{i=2,32,8-10}},V_3\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_{i_{i=2,32,8-10}}),F_{V'}(V_3)]_{V_{i_{i=2,32,8-10}},V_3\in E_2},
 \\&& ,
 T'_V(E_3)=0.26=\min[T_{V'}(V_{i_{i=4,12-14}}),T_{V'}(V_3)]_{V_{i_{i=4,12-14}},V_3\in E_3},
\\&& I'_V(E_3)=0.26=\min[I_{V'}(V_{i_{i=4,12-14}}),I_{V'}(V_3)]_{V_{i_{i=4,12-14}},V_3\in E_3},
\\&& \text{and}~F'_V(E_3)=0.26=\min[F_{V'}(V_{i_{i=4,12-14}}),F_{V'}(V_3)]_{V_{i_{i=4,12-14}},V_3\in E_3},
 \\&& ,
\\&&
V_{i_{i=16-18,20-23}}\in V_{SHG}\setminus V'',\exists V_5\in V'':
\\&&
T'_V(E_4)=0.26=\min[T_{V'}(V_{i_{i=16-18}}),T_{V'}(V_5)]_{V_{i_{i=16-18}},V_5\in E_4},
\\&& I'_V(E_4)=0.26=\min[I_{V'}(V_{i_{i=16-18}}),I_{V'}(V_5)]_{V_{i_{i=16-18}},V_5\in E_4},
\\&& \text{and}~F'_V(E_4)=0.26=\min[F_{V'}(V_{i_{i=16-18}}),F_{V'}(V_5)]_{V_{i_{i=16-18}},V_5\in E_4},
 \\&& ,
 T'_V(E_5)=0.26=\min[T_{V'}(V_{i_{i=20-23}}),T_{V'}(V_5)]_{V_{i_{i=20-23}},V_5\in E_5},
\\&& I'_V(E_5)=0.26=\min[I_{V'}(V_{i_{i=20-23}}),I_{V'}(V_5)]_{V_{i_{i=20-23}},V_5\in E_5},
\\&& \text{and}~F'_V(E_5)=0.26=\min[F_{V'}(V_{i_{i=20-23}}),F_{V'}(V_5)]_{V_{i_{i=20-23}},V_5\in E_5},
 \\&& ,
\\&&
V_{i_{i=6,25-30}}\in V_{SHG}\setminus V'',\exists V_7\in V'':
\\&&
T'_V(E_6)=0.26=\min[T_{V'}(V_{i_{i=6,25-30}}),T_{V'}(V_7)]_{V_{i_{i=6,25-30}},V_7\in E_6},
\\&& I'_V(E_6)=0.26=\min[I_{V'}(V_{i_{i=6,25-30}}),I_{V'}(V_7)]_{V_{i_{i=6,25-30}},V_7\in E_6},
\\&& \text{and}~F'_V(E_6)=0.26=\min[F_{V'}(V_{i_{i=6,25-30}}),F_{V'}(V_7)]_{V_{i_{i=6,25-30}},V_7\in E_6},
 \\&& \}
\end{eqnarray*}

 
\item On the Figure \eqref{300SHG9}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperCycle (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG9}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperStar}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.26,0.26,0.26)$ & $E_{i_{i=3^7}}$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.26,0.26,0.26)$ &$V_5$ & $(0.26,0.26,0.26)$\\
\hline
$V_6$ & $(0.26,0.26,0.26)$ &$V_7$ &  $(0.24,0.24,0.24)$\\
\hline
\end{tabular}
\label{300TBL1300SHG9}
\end{table}
Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperExternal $\{V_i\}_{i=1}^7$ and non-SuperHyperInternal $\{V_i\}_{i=8}^{34}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_3,V_5,V_7,V_{i_{i=2,11,15,19,24,27,32-34}}\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}},V_{i_{i=2,11,15,19,24,27,32-34}}\}}T(V_i),
\\&&
\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}},V_{i_{i=2,11,15,19,24,27,32-34}}\}}I(V_i),
\\&&
\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}},V_{i_{i=2,11,15,19,24,27,32-34}}\}}F(V_i))|
\\&&
=(2.94,2.94,2.94)=
\\&&
=\max_{V''\subseteq V_{SHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~
\\&&
V_{i_{i=2,32,8-10,4,12-14}}\in V_{SHG}\setminus V'',\exists V_3\in V'':
\\&&
T'_V(E_2)=0.26=\min[T_{V'}(V_{i_{i=2,32,8-10}}),T_{V'}(V_3)]_{V_{i_{i=2,32,8-10}},V_3\in E_2},
\\&& I'_V(E_2)=0.26=\min[I_{V'}(V_{i_{i=12,32,8-10}}),I_{V'}(V_3)]_{V_{i_{i=2,32,8-10}},V_3\in E_2},
\\&& \text{and}~F'_V(E_2)=0.26=\min[F_{V'}(V_{i_{i=2,32,8-10}}),F_{V'}(V_3)]_{V_{i_{i=2,32,8-10}},V_3\in E_2},
 \\&& ,
 T'_V(E_3)=0.26=\min[T_{V'}(V_{i_{i=4,12-14}}),T_{V'}(V_3)]_{V_{i_{i=4,12-14}},V_3\in E_3},
\\&& I'_V(E_3)=0.26=\min[I_{V'}(V_{i_{i=4,12-14}}),I_{V'}(V_3)]_{V_{i_{i=4,12-14}},V_3\in E_3},
\\&& \text{and}~F'_V(E_3)=0.26=\min[F_{V'}(V_{i_{i=4,12-14}}),F_{V'}(V_3)]_{V_{i_{i=4,12-14}},V_3\in E_3},
 \\&& ,
\\&&
V_{i_{i=16-18,20-23}}\in V_{SHG}\setminus V'',\exists V_5\in V'':
\\&&
T'_V(E_4)=0.26=\min[T_{V'}(V_{i_{i=16-18}}),T_{V'}(V_5)]_{V_{i_{i=16-18}},V_5\in E_4},
\\&& I'_V(E_4)=0.26=\min[I_{V'}(V_{i_{i=16-18}}),I_{V'}(V_5)]_{V_{i_{i=16-18}},V_5\in E_4},
\\&& \text{and}~F'_V(E_4)=0.26=\min[F_{V'}(V_{i_{i=16-18}}),F_{V'}(V_5)]_{V_{i_{i=16-18}},V_5\in E_4},
 \\&& ,
 T'_V(E_5)=0.26=\min[T_{V'}(V_{i_{i=20-23}}),T_{V'}(V_5)]_{V_{i_{i=20-23}},V_5\in E_5},
\\&& I'_V(E_5)=0.26=\min[I_{V'}(V_{i_{i=20-23}}),I_{V'}(V_5)]_{V_{i_{i=20-23}},V_5\in E_5},
\\&& \text{and}~F'_V(E_5)=0.26=\min[F_{V'}(V_{i_{i=20-23}}),F_{V'}(V_5)]_{V_{i_{i=20-23}},V_5\in E_5},
 \\&& ,
\\&&
V_{i_{i=6,25-30}}\in V_{SHG}\setminus V'',\exists V_{27}\in V'':
\\&&
T'_V(E_6)=0.26=\min[T_{V'}(V_{i_{i=6,25-30}}),T_{V'}(V_{27)]_{V_{i_{i=6,25-30}},V_{27}\in E_6},
\\&& I'_V(E_6)=0.26=\min[I_{V'}(V_{i_{i=6,25-30}}),I_{V'}(V_{27})]_{V_{i_{i=6,25-30}},V_{27}\in E_6},
\\&& \text{and}~F'_V(E_6)=0.26=\min[F_{V'}(V_{i_{i=6,25-30}}),F_{V'}(V_{27})]_{V_{i_{i=6,25-30}},V_{27}\in E_6},
 \\&& \}
\end{eqnarray*}

 
\item On the Figure \eqref{300SHG10}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperCycle (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG10}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperStar}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.26,0.26,0.26)$ & $E_{i_{i=3^7}}$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.24,0.24,0.24)$ &$V_5$ & $(0.26,0.26,0.26)$\\
\hline
$V_6$ & $(0.26,0.26,0.26)$ &$V_7$ &  $(0.24,0.24,0.24)$\\
\hline
\end{tabular}
\label{300TBL1300SHG10}
\end{table}
Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperExternal $\{V_i\}_{i=1}^7$ and non-SuperHyperInternal $\{V_i\}_{i=8}^{34}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_3,V_5,V_7,V_{i_{i=2,11,15,19,24,27,32-34}},V_{i_{i=32,8-10,4,12-14}}\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}},V_{i_{i=2,11,15,19,24,27,32-34}},V_{i_{i=32,8-10,4,12-14}}\}}T(V_i),
\\&&
\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}},V_{i_{i=2,11,15,19,24,27,32-34}},V_{i_{i=32,8-10,4,12-14}}\}}I(V_i),
\\&&
\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}},V_{i_{i=2,11,15,19,24,27,32-34}},V_{i_{i=32,8-10,4,12-14}}\}}F(V_i))|
\\&&
=(4.86,4.86,4.86)=
\\&&
=\max_{V''\subseteq V_{SHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~
\\&&
V_{i_{i=16-18,20-23}}\in V_{SHG}\setminus V'',\exists V_5\in V'':
\\&&
T'_V(E_4)=0.26=\min[T_{V'}(V_{i_{i=16-18}}),T_{V'}(V_5)]_{V_{i_{i=16-18}},V_5\in E_4},
\\&& I'_V(E_4)=0.26=\min[I_{V'}(V_{i_{i=16-18}}),I_{V'}(V_5)]_{V_{i_{i=16-18}},V_5\in E_4},
\\&& \text{and}~F'_V(E_4)=0.26=\min[F_{V'}(V_{i_{i=16-18}}),F_{V'}(V_5)]_{V_{i_{i=16-18}},V_5\in E_4},
 \\&& ,
 T'_V(E_5)=0.26=\min[T_{V'}(V_{i_{i=20-23}}),T_{V'}(V_5)]_{V_{i_{i=20-23}},V_5\in E_5},
\\&& I'_V(E_5)=0.26=\min[I_{V'}(V_{i_{i=20-23}}),I_{V'}(V_5)]_{V_{i_{i=20-23}},V_5\in E_5},
\\&& \text{and}~F'_V(E_5)=0.26=\min[F_{V'}(V_{i_{i=20-23}}),F_{V'}(V_5)]_{V_{i_{i=20-23}},V_5\in E_5},
 \\&& ,
\\&&
V_{i_{i=6,25-30}}\in V_{SHG}\setminus V'',\exists V_{27}\in V'':
\\&&
T'_V(E_6)=0.26=\min[T_{V'}(V_{i_{i=6,25-30}}),T_{V'}(V_{27)]_{V_{i_{i=6,25-30}},V_{27}\in E_6},
\\&& I'_V(E_6)=0.26=\min[I_{V'}(V_{i_{i=6,25-30}}),I_{V'}(V_{27})]_{V_{i_{i=6,25-30}},V_{27}\in E_6},
\\&& \text{and}~F'_V(E_6)=0.26=\min[F_{V'}(V_{i_{i=6,25-30}}),F_{V'}(V_{27})]_{V_{i_{i=6,25-30}},V_{27}\in E_6},
 \\&& \}
\end{eqnarray*}

 
\item On the Figure \eqref{300SHG11}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperCycle (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG11}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperStar}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.26,0.26,0.26)$ & $E_{i_{i=3^7}}$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.24,0.24,0.24)$ &$V_5$ & $(0.26,0.26,0.26)$\\
\hline
$V_6$ & $(0.24,0.24,0.24)$ &$V_7$ &  $(0.24,0.24,0.24)$\\
\hline
\end{tabular}
\label{300TBL1300SHG11}
\end{table}
Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperExternal $\{V_i\}_{i=1}^7$ and non-SuperHyperInternal $\{V_i\}_{i=8}^{34}.$ Consider a Neutrosophic SuperHyperSet $V'=\{V_1,V_3,V_5,V_7,V_{i_{i=2,11,15,19,24,27,32-34}},V_{i_{i=32,8-10,4,12-14}},V_{i_{i=16-18,20-23}}\}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}},V_{i_{i=2,11,15,19,24,27,32-34}},V_{i_{i=32,8-10,4,12-14}},V_{i_{i=16-18,20-23}}\}}T(V_i),
\\&&
\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}},V_{i_{i=2,11,15,19,24,27,32-34}},V_{i_{i=32,8-10,4,12-14}},V_{i_{i=16-18,20-23}}\}}I(V_i),
\\&&
\sum_{V_i\in V'=\{V_{i_{i=1,3,5,7}},V_{i_{i=2,11,15,19,24,27,32-34}},V_{i_{i=32,8-10,4,12-14}},V_{i_{i=16-18,20-23}}\}}F(V_i))|
\\&&
=(6.54,6.54,6.54)=
\\&&
=\max_{V''\subseteq V_{SHG}} |\{~(\sum_{V_i\in V''}T(V_i),\sum_{V_i\in V''}I(V_i),\sum_{V_i\in V''}F(V_i))~|~
\\&&
V_{i_{i=6,25-30}}\in V_{SHG}\setminus V'',\exists V_{27}\in V'':
\\&&
T'_V(E_6)=0.26=\min[T_{V'}(V_{i_{i=6,25-30}}),T_{V'}(V_{27)]_{V_{i_{i=6,25-30}},V_{27}\in E_6},
\\&& I'_V(E_6)=0.26=\min[I_{V'}(V_{i_{i=6,25-30}}),I_{V'}(V_{27})]_{V_{i_{i=6,25-30}},V_{27}\in E_6},
\\&& \text{and}~F'_V(E_6)=0.26=\min[F_{V'}(V_{i_{i=6,25-30}}),F_{V'}(V_{27})]_{V_{i_{i=6,25-30}},V_{27}\in E_6},
 \\&& \}
\end{eqnarray*}

 
\item On the Figure \eqref{300SHG12}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperCycle (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG12}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperStar}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.26,0.26,0.26)$ & $E_{i_{i=3^7}}$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.24,0.24,0.24)$ &$V_5$ & $(0.26,0.26,0.26)$\\
\hline
$V_6$ & $(0.24,0.24,0.24)$ &$V_7$ &  $(0.24,0.24,0.24)$\\
\hline
\end{tabular}
\label{300TBL1300SHG12}
\end{table}
Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperExternal $\{V_i\}_{i=1}^7$ and non-SuperHyperInternal $\{V_i\}_{i=8}^{34}.$ Consider a Neutrosophic SuperHyperSet $V'=V_{SHG}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=V_{SHG}}T(V_i),
\\&&
\sum_{V_i\in V'=V_{SHG}}I(V_i),\sum_{V_i\in V'=V_{SHG}}F(V_i))|
\\&&
=(8.24,8.24,8.24).
 \\&& \}
\end{eqnarray*}

\item On the Figure \eqref{300SHG13}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperCycle (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG13}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperStar}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.26,0.26,0.26)$ & $E_{i_{i=3^7}}$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.24,0.24,0.24)$ &$V_5$ & $(0.24,0.24,0.24)$\\
\hline
$V_6$ & $(0.24,0.24,0.24)$ &$V_7$ &  $(0.24,0.24,0.24)$\\
\hline
\end{tabular}
\label{300TBL1300SHG13}
\end{table}
Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperExternal $\{V_i\}_{i=1}^7$ and non-SuperHyperInternal $\{V_i\}_{i=8}^{34}.$ Consider a Neutrosophic SuperHyperSet $V'=V_{SHG}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=V_{SHG}}T(V_i),
\\&&
\sum_{V_i\in V'=V_{SHG}}I(V_i),\sum_{V_i\in V'=V_{SHG}}F(V_i))|
\\&&
=(8.26,8.26,8.26).
 \\&& \}
\end{eqnarray*}

\item On the Figure \eqref{300SHG14}, the Neutrosophic SuperHyperNotion, namely, Neutrosophic SuperHyperCycle (SHG), is up in the illustration of the Table \eqref{300TBL1300SHG14}.

\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperStar}
\begin{tabular}[t]{c|c|c|c}
 \hline
 $V_i$ & $(T_{V_i},I_{V_i},F_{V_i})$ &  $E_i$ & $(T_{E_i},I_{E_i},F_{E_i})$\\
\hline
$V_1$ &  $(0.26,0.26,0.26)$ & $E_1$ & $(0.26,0.26,0.26)$\\
\hline
$V_2$ & $(0.24,0.24,0.24)$ & $E_2$ & $(0.26,0.26,0.26)$\\
\hline
$V_3$ & $(0.26,0.26,0.26)$ & $E_{i_{i=3^7}}$ & $(0.26,0.26,0.26)$\\
\hline
$V_4$ & $(0.24,0.24,0.24)$ &$V_5$ & $(0.24,0.24,0.24)$\\
\hline
$V_6$ & $(0.24,0.24,0.24)$ &$V_7$ &  $(0.24,0.24,0.24)$\\
\hline
\end{tabular}
\label{300TBL1300SHG14}
\end{table}
Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Assume SuperHyperExternal $\{V_i\}_{i=1}^7$ and non-SuperHyperInternal $\{V_i\}_{i=8}^{34}.$ Consider a Neutrosophic SuperHyperSet $V'=V_{SHG}.$ Then $V'$ is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} since the following expressions, terms and statements is called Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} criteria holds.
  \begin{eqnarray*}
&&|(\sum_{V_i\in V'=V_{SHG}}T(V_i),
\\&&
\sum_{V_i\in V'=V_{SHG}}I(V_i),\sum_{V_i\in V'=V_{SHG}}F(V_i))|
\\&&
=(8.28,8.28,8.28).
 \\&& \}
\end{eqnarray*}

\end{itemize}
\end{example}

\section{Main Result}         

\begin{theorem}(Main Result and Main Theorem).\\
 Assume every Neutrosophic SuperHyperMultipartite has the letter $z.$ The notion on the Neutrosophic SuperHyperMultipartite and Neutrosophic SuperHyperCycle don't coincide.
\end{theorem}
\begin{proof}
\item[$(i).$]
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
be a longest path taken a connected Extreme SuperHyperMultipartite $ESHM:(V,E).$  There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward.
 \item[$(ii).$]
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
  V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  is a longest SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} taken from a connected Extreme SuperHyperCycle $ESHC:(V,E).$
 There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward. Then there's at least one Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. Thus the notion of quasi isn't up and the SuperHyperNotions based on Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} could be applied. The unique embedded Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} proposes some longest Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} excerpt from some representatives. The latter is straightforward.
\end{proof}

\begin{proposition}
 Let a Neutrosophic SuperHyperMultipartite $ESHM$ be a pair $S=(V,E).$ Assume every Neutrosophic SuperHyperVertex has the letter $z.$ The Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} set is as follows.
  $$\{V^{P_i}_1,V^{P_j}_1\}.$$
\end{proposition}
\begin{proof}
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
be a longest path taken a connected Extreme SuperHyperMultipartite $ESHM:(V,E).$  There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward.
\end{proof}
\begin{proposition}
 Let a Neutrosophic SuperHyperMultipartite $ESHM$ be a pair $S=(V,E).$ Assume every Neutrosophic SuperHyperVertex has the letter $z.$ The Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} number is as follows.
  $$2\times0.26.$$
\end{proposition}
\begin{proof}
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
be a longest path taken a connected Extreme SuperHyperMultipartite $ESHM:(V,E).$  There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward.
\end{proof}

\begin{proposition}
 Let a Neutrosophic SuperHyperCycle (ESHC) $S$ be a pair $S=(V,E).$ Assume every Neutrosophic SuperHyperVertex has the letter $z.$ The Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} set is as follows.
 \begin{eqnarray*}
 && \{
 \\&&
 V^{EXTERNAL}_i,
 \\&&V^{EXTERNAL}_{i+2},\ldots
  \\&&
 \}
 \end{eqnarray*}
 
\end{proposition}
\begin{proof}
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
  V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  is a longest SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} taken from a connected Extreme SuperHyperCycle $ESHC:(V,E).$
 There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward. Then there's at least one Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. Thus the notion of quasi isn't up and the SuperHyperNotions based on Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} could be applied. The unique embedded Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} proposes some longest Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} excerpt from some representatives. The latter is straightforward.
\end{proof}
\begin{proposition}
 Let a Neutrosophic SuperHyperCycle (ESHC) $S$ be a pair $S=(V,E).$ Assume every Neutrosophic SuperHyperVertex has the letter $z.$ The Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} number is as follows.
 $$\frac{|V|}{2}\times0.26.$$
\end{proposition}
\begin{proof}
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
  V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  is a longest SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} taken from a connected Extreme SuperHyperCycle $ESHC:(V,E).$
 There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward. Then there's at least one Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. Thus the notion of quasi isn't up and the SuperHyperNotions based on Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} could be applied. The unique embedded Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} proposes some longest Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} excerpt from some representatives. The latter is straightforward.
\end{proof}
 
\begin{definition}(Uniform Neutrosophic SuperHyperMultipartite and Uniform Neutrosophic SuperHyperCycle).\\

\begin{itemize}
 \item[$(i).$] Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Every pair of Neutrosophic SuperHyperVertices has the same maximum letter, i.e., Neutrosophic SuperHyperVertices mutually has the same maximum letter. A Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E)$ is called \textbf{Uniform Neutrosophic SuperHyperMultipartite}.
  \item[$(ii).$] Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Every pair of Neutrosophic SuperHyperVertices has the same maximum letter, i.e., Neutrosophic SuperHyperVertices mutually has the same maximum letter. A Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E)$ is called \textbf{Uniform Neutrosophic SuperHyperCycle}.
\end{itemize}
 
\end{definition}

\begin{proposition}
 Let an Uniform Neutrosophic SuperHyperMultipartite $ESHM$ be a pair $S=(V,E).$ The Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} set is as follows.
  $$\{V^{P_i}_1,V^{P_j}_1\}.$$
\end{proposition}
\begin{proof}
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
be a longest path taken a connected Extreme SuperHyperMultipartite $ESHM:(V,E).$  There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward.
\end{proof}
\begin{proposition}
Let an Uniform Neutrosophic SuperHyperMultipartite $ESHM$ be a pair $S=(V,E).$ The Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} number is as follows.
  $$2\times0.26.$$
\end{proposition}
\begin{proof}
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
be a longest path taken a connected Extreme SuperHyperMultipartite $ESHM:(V,E).$  There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward.
\end{proof}

\begin{proposition}
 Let an Uniform Neutrosophic SuperHyperCycle (ESHC) $S$ be a pair $S=(V,E).$ The Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} set is as follows.
 \begin{eqnarray*}
 && \{
 \\&&
 V^{EXTERNAL}_i,
 \\&&V^{EXTERNAL}_{i+2},\ldots
  \\&&
 \}
 \end{eqnarray*}
 
\end{proposition}
\begin{proof}
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
  V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  is a longest SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} taken from a connected Extreme SuperHyperCycle $ESHC:(V,E).$
 There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward. Then there's at least one Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. Thus the notion of quasi isn't up and the SuperHyperNotions based on Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} could be applied. The unique embedded Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} proposes some longest Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} excerpt from some representatives. The latter is straightforward.
\end{proof}
\begin{proposition}
 Let an Uniform Neutrosophic SuperHyperCycle (ESHC) $S$ be a pair $S=(V,E).$ The Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} number is as follows.
 $$\frac{|V|}{2}\times0.26.$$
\end{proposition}
\begin{proof}
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
  V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  is a longest SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} taken from a connected Extreme SuperHyperCycle $ESHC:(V,E).$
 There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward. Then there's at least one Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. Thus the notion of quasi isn't up and the SuperHyperNotions based on Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} could be applied. The unique embedded Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} proposes some longest Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} excerpt from some representatives. The latter is straightforward.
\end{proof}

\begin{proposition}(Neutrosophic SuperHyperMultipartite and Neutrosophic SuperHyperCycle).\\
 \begin{itemize}
 \item[$(i).$] Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Assume two Neutrosophic SuperHyperVertices, from different SuperHyperParts, have the maximum letter. Then the Neutrosophic SuperHyperVertices don't have the same maximum letter, are in every Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} set.
 \item[$(ii).$] Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Assume every Neutrosophic EXTERNAL SuperHyperVertices with distance two have the maximum letter. Then the Neutrosophic SuperHyperVertices don't have the same maximum letter, are in every Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} set.
\end{itemize}
\end{proposition}
\begin{proof}
\item[$(i).$]
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
be a longest path taken a connected Extreme SuperHyperMultipartite $ESHM:(V,E).$  There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward.
 \item[$(ii).$]
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
  V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  is a longest SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} taken from a connected Extreme SuperHyperCycle $ESHC:(V,E).$
 There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward. Then there's at least one Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. Thus the notion of quasi isn't up and the SuperHyperNotions based on Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} could be applied. The unique embedded Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} proposes some longest Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} excerpt from some representatives. The latter is straightforward.
\end{proof}

\begin{proposition}(Embedded Neutrosophic SuperHyperStar and Embedded Neutrosophic SuperHyperStar).\\
 \begin{itemize}
 \item[$(i).$] Let a Neutrosophic SuperHyperMultipartite (SHG) $S$ be a pair $S=(V,E).$ Then  two Neutrosophic SuperHyperVertices, from different SuperHyperParts, is in every Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} set.
  \item[$(ii).$] Let a Neutrosophic SuperHyperCycle (SHG) $S$ be a pair $S=(V,E).$ Then  every Neutrosophic EXTERNAL SuperHyperVertices with distance two is in every Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} set.
\end{itemize}
\end{proposition}
\begin{proof}
\item[$(i).$]
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
 V^{P_i}_1,E_1,
 \\&&V^{P_j}_1,E_2
 \end{eqnarray*}
be a longest path taken a connected Extreme SuperHyperMultipartite $ESHM:(V,E).$  There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward.
 \item[$(ii).$]
 Let
 \begin{eqnarray*}
 && P:
 \\&&
 V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  \begin{eqnarray*}
 && P:
 \\&&
  V^{EXTERNAL}_i,E^{*}_i,
 \\&&V^{EXTERNAL}_{i+1},E^{*}_{i+1}
 \end{eqnarray*}
  is a longest SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} taken from a connected Extreme SuperHyperCycle $ESHC:(V,E).$
 There's a new way to redefine as
\begin{eqnarray*}
&&
V^{EXTERNAL}_i\sim V^{EXTERNAL}_j \equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ V^{EXTERNAL}_i,V^{EXTERNAL}_j \in E_z
\equiv
\\&& \exists! E_z\in E_{ESHG:(V,E)},~ \{V^{EXTERNAL}_i,V^{EXTERNAL}_j\} \subseteq E_z.
\end{eqnarray*}
The term ``EXTERNAL'' implies $|N(V^{EXTERNAL}_i)|\geq |N(V_j)|$ where $V_j$ is corresponded to $V^{EXTERNAL}_i$ in the literatures of Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. The latter is straightforward. Then there's at least one Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}. Thus the notion of quasi isn't up and the SuperHyperNotions based on Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} could be applied. The unique embedded Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} proposes some longest Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} excerpt from some representatives. The latter is straightforward.
\end{proof}

 

 \section{Neutrosophic Applications in Cancer's Neutrosophic Recognition}
The cancer is the Neutrosophic disease but the Neutrosophic model is going to figure out what's going on this Neutrosophic phenomenon. The special Neutrosophic case of this Neutrosophic disease is considered and as the consequences of the model, some parameters are used. The cells are under attack of this disease but the moves of the cancer in the special region are the matter of mind. The Neutrosophic recognition of the cancer could help to find some Neutrosophic treatments for this Neutrosophic disease.
\\
In the following, some Neutrosophic steps are Neutrosophic devised on this disease.
\begin{description}
 \item[Step 1. (Neutrosophic Definition)] The Neutrosophic recognition of the cancer in the long-term Neutrosophic function.
  \item[Step 2. (Neutrosophic Issue)] The specific region has been assigned by the Neutrosophic model [it's called Neutrosophic SuperHyperGraph] and the long Neutrosophic cycle of the move from the cancer is identified by this research. Sometimes the move of the cancer hasn't be easily identified since there are some determinacy, indeterminacy and neutrality about the moves and the effects of the cancer on that region; this event leads us to choose another model [it's said to be Neutrosophic SuperHyperGraph] to have convenient perception on what's happened and what's done.
 \item[Step 3. (Neutrosophic Model)]  
There are some specific Neutrosophic models, which are well-known and they've got the names, and some general Neutrosophic models. The moves and the Neutrosophic traces of the cancer on the complex tracks and between complicated groups of cells could be fantasized by a Neutrosophic SuperHyperPath(-/SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}, SuperHyperStar, SuperHyperBipartite, SuperHyperMultipartite,  SuperHyperWheel). The aim is to find either the Neutrosophic   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} or the Neutrosophic   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} in those Neutrosophic Neutrosophic SuperHyperModels.
  \section{Case 1: The Initial Neutrosophic Steps Toward Neutrosophic SuperHyperBipartite as  Neutrosophic SuperHyperModel}

 \item[Step 4. (Neutrosophic Solution)]
In the Neutrosophic Figure \eqref{136NSHGaa21aa}, the Neutrosophic SuperHyperBipartite is Neutrosophic highlighted and Neutrosophic featured.
\begin{figure}
 \includegraphics[width=100mm]{136NSHG21.png}
 \caption{a Neutrosophic  SuperHyperBipartite Associated to the Notions of   Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}}
 \label{136NSHGaa21aa}
\end{figure}
\\ By using the Neutrosophic Figure \eqref{136NSHGaa21aa} and the Table \eqref{136TBLaa21aa}, the Neutrosophic SuperHyperBipartite is obtained.
\\
The obtained Neutrosophic SuperHyperSet, by the Neutrosophic Algorithm in previous Neutrosophic result, of the Neutrosophic SuperHyperVertices of the connected Neutrosophic SuperHyperBipartite $ESHB:(V,E),$ in the Neutrosophic SuperHyperModel \eqref{136NSHGaa21aa},
is the Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}.
\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperBipartite}
\begin{tabular}[t]{c|c}
\hline
The Values of The Vertices & The Number of Position in Alphabet\\
\hline
The Values of The SuperVertices&The maximum Values of Its Vertices\\
\hline
The Values of The Edges&The maximum Values of Its Vertices\\
\hline
The Values of The HyperEdges&The maximum Values of Its Vertices\\
\hline
The Values of The SuperHyperEdges&The maximum Values of Its Endpoints \\
\hline
\end{tabular}
\label{136TBLaa21aa}
\end{table}
    \section{Case 2: The Increasing Neutrosophic Steps Toward Neutrosophic SuperHyperMultipartite as Neutrosophic SuperHyperModel}

     \item[Step 4. (Neutrosophic Solution)]
In the Neutrosophic Figure \eqref{136NSHGaa22aa}, the Neutrosophic SuperHyperMultipartite is Neutrosophic highlighted and  Neutrosophic featured.
\begin{figure}
 \includegraphics[width=100mm]{136NSHG22.png}
 \caption{a Neutrosophic  SuperHyperMultipartite Associated to the Notions of   Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}}
 \label{136NSHGaa22aa}
\end{figure}
\\
 By using the Neutrosophic Figure \eqref{136NSHGaa22aa} and the Table \eqref{136TBLaa22aa}, the Neutrosophic SuperHyperMultipartite is obtained.
 \\
 The obtained Neutrosophic SuperHyperSet, by the Neutrosophic Algorithm in previous result, of the Neutrosophic SuperHyperVertices of the connected Neutrosophic SuperHyperMultipartite $ESHM:(V,E),$ in the Neutrosophic SuperHyperModel \eqref{136NSHGaa22aa}, is the  Neutrosophic SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}.
\begin{table}
\centering
\caption{The Values of Vertices, SuperVertices, Edges, HyperEdges, and SuperHyperEdges Belong to The Neutrosophic SuperHyperMultipartite}
\begin{tabular}[t]{c|c}
\hline
The Values of The Vertices & The Number of Position in Alphabet\\
\hline
The Values of The SuperVertices&The maximum Values of Its Vertices\\
\hline
The Values of The Edges&The maximum Values of Its Vertices\\
\hline
The Values of The HyperEdges&The maximum Values of Its Vertices\\
\hline
The Values of The SuperHyperEdges&The maximum Values of Its Endpoints \\
\hline
\end{tabular}
\label{136TBLaa22aa}
\end{table}
     \end{description}

\section{Wondering Open Problems But As The Directions To Forming The Motivations}
In what follows, some ``problems'' and some ``questions'' are proposed.
\\
The   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} and the Neutrosophic   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} are defined on a real-world application, titled ``Cancer's Recognitions''.
\begin{question}
Which the else SuperHyperModels could be defined based on Cancer's recognitions?
\end{question}
\begin{question}
Are there some SuperHyperNotions related to   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} and the Neutrosophic   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}?
\end{question}
\begin{question}
Are there some Algorithms to be defined on the SuperHyperModels to compute them?
\end{question}
\begin{question}
Which the SuperHyperNotions are related to beyond the   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} and the Neutrosophic   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}?
\end{question}
\begin{problem}
The   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} and the Neutrosophic   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION} do a SuperHyperModel for the Cancer's recognitions and they're based on   SuperHyper{\tiny EQUAL CONNECTIVE DOMINATION}, are there else?
\end{problem}
\begin{problem}
Which the fundamental SuperHyperNumbers are related to these SuperHyperNumbers types-results?
\end{problem}
\begin{problem}
What's the independent research based on Cancer's recognitions concerning the multiple types of SuperHyperNotions?
\end{problem}
\section{Conclusion and  Closing Remarks}
In this section, closing and concluding remarks are presented. The drawbacks of this scientific research are shown. Some advantages and disadvantages of this scientific research are highlighted.
\\
This scientific research uses some approaches to further understand the Neutrosophic SuperHyperGraphs. In this effort, two SuperHyperNotions are defined on the EQUAL CONNECTIVE DOMINATION. For this reason, in the second definition, the original definition of the Neutrosophic SuperHyperGraph is redefined on the position of the alphabets. Based on the new Neutrosophic SuperHyperGraph definition, the new SuperHyperNotion, Neutrosophic EQUAL CONNECTIVE DOMINATION, finds a suitable background to implement some results on. Some SuperHyperClasses and some Neutrosophic SuperHyperClasses are the subjects of this scientific research on modeling areas that are subject to cancer attacks in order to recognize this disease as mentioned under the title ``Cancer Diagnosis". To formalize the SuperHyperNotion, EQUAL CONNECTIVE DOMINATION, SuperHyperClasses and new SuperHyperClasses instances are introduced. Some general results are summarized in the EQUAL CONNECTIVE DOMINATION and Neutrosophic EQUAL CONNECTIVE DOMINATION sections. Clarifications, examples, and literature reviews go all the way. In this scientific research, the literature review has met the lines containing concepts and results. SuperHyperGraph and Neutrosophic SuperHyperGraph are super-hypermodels in ``cancer diagnosis" and both are the foundation of the background of this scientific research. Sometimes cancer has occurred in an area full of cells, cell groups, and embedded styles. In this section, SuperHyperModel proposes SuperHyperNotions, formally called ``EQUAL CONNECTIVE DOMINATION", based on the connections of Cancer's movements in the longest and strongest styles with the formation of design and architecture, in terms of terms and whispering words. . The ``SuperHyper" prefix refers to the topic of embedded styles to explore the background of SuperHyperNotions.
\begin{table}[ht]
\centering
\caption{A look at this scientific research and beyond}
\label{136TBLTBL}
\begin{tabular}[t]{|c|c|}
\hline
\textcolor{black}{Advantages}&\textcolor{black}{Limitations}\\
\hline
\textcolor{black}{1. }\textcolor{red}{Redefining the Neutrosophic SuperHyperGraph} &\textcolor{black}{1. }\textcolor{blue}{General Results} \\ &
\\
   \textcolor{black}{ 2. }\textcolor{red}{ EQUAL CONNECTIVE DOMINATION}& \\ &
\\
\textcolor{black}{3. } \textcolor{red}{Neutrosophic EQUAL CONNECTIVE DOMINATION} &\textcolor{black}{2. } \textcolor{blue}{Other SuperHyperNumbers}
\\&
\\
\textcolor{black}{ 4. }\textcolor{red}{modeling cancer diagnoses} & \\&
\\
\textcolor{black}{ 5. }\textcolor{red}{SuperHyperClasses} &\textcolor{black}{3. }\textcolor{blue}{SuperHyperFamilies} \\
\hline
\end{tabular}
\end{table}
In the table \eqref{136TBLTBL}, the advantages and ways of this scientific research are specified, pointed out and expressed.      
      \section{Background}
There are some scientific researches covering the topic of this scientific research. In what follows, there are some discussion and literature reviews about them.
\\
The seminal paper and groundbreaking article is titled ``\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph As Hyper Tool On Super Toot}'' in \textbf{Ref.} \cite{HG11s} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on general forms with introducing used neutrosophic classes of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “\textit{Current Trends in Mass Communication (CTMC)}” with ISO abbreviation ``\textit{Curr Trends Mass Comm}'' in volume 2 and issue 1 with pages 32-55.
\\
The seminal paper and groundbreaking article is titled ``\textit{Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments}'' in \textbf{Ref.} \cite{HG22s} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental notions and using vital tools in Cancer’s Treatments. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 2 and issue 1 with pages 35-47. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers.
\\
The seminal paper and groundbreaking article is titled ``\textit{A Research on Cancer's Recognition and Neutrosophic Super Hypergraph by Eulerian Super Hyper Cycles and Hamiltonian Sets as Hyper Covering Versus Super separations}'' in \textbf{Ref.} \cite{HG33s} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental notions and using vital tools in Cancer’s Recognition. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 2 and issue 3 with pages 136-148. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers.
\\
The seminal paper and groundbreaking article is titled ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction to Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition and Beyond}'' in \textbf{Ref.} \cite{HG44s} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental SuperHyperNumber and using neutrosophic SuperHyperClasses of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 2 and issue 6 with pages 221-307. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. The seminal paper and groundbreaking article is titled ``\textit{Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes}'' in \textbf{Ref.} \cite{HG55s} by Henry Garrett (2022). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on fundamental SuperHyperNumber and using neutrosophic SuperHyperClasses of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “\textit{Journal of Mathematical Techniques and Computational Mathematics(JMTCM)}” with ISO abbreviation ``\textit{J Math Techniques Comput Math}'' in volume 1 and issue 3 with pages 242-263. The research article studies deeply with choosing directly neutrosophic SuperHyperGraph and SuperHyperGraph. It's the breakthrough toward independent results based on initial background and fundamental SuperHyperNumbers. The seminal paper and groundbreaking article is titled ``\textit{neutrosophic co-degree and neutrosophic degree alongside chromatic numbers in the setting of some classes related to neutrosophic hypergraphs}'' in \textbf{Ref.} \cite{HG66s} by Henry Garrett (2023). In this research article, a novel approach is implemented on SuperHyperGraph and neutrosophic SuperHyperGraph based on general forms without using neutrosophic classes of neutrosophic SuperHyperGraph. It's published in prestigious and fancy journal is entitled “\textit{Journal of Current Trends in Computer Science Research (JCTCSR)}” with ISO abbreviation ``\textit{J Curr Trends Comp Sci Res}'' in volume 2 and issue 1 with pages 16-24. The research article studies deeply with choosing neutrosophic hypergraphs instead of neutrosophic SuperHyperGraph. It's the breakthrough toward independent results based on initial background. The research article studies deeply with choosing neutrosophic hypergraphs instead of neutrosophic SuperHyperGraph. It's the breakthrough toward independent results based on initial background. In some articles are titled ``\textit{0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph}'' in \textbf{Ref.} \cite{HG4} by Henry Garrett (2022),  ``\textit{0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs}'' in \textbf{Ref.} \cite{HG5} by Henry Garrett (2022),  ``\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG6} by Henry Garrett (2022), ``\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}'' in \textbf{Ref.} \cite{HG7} by Henry Garrett (2022), ``\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG8} by Henry Garrett (2022), ``\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}'' in \textbf{Ref.} \cite{HG9} by Henry Garrett (2022), ``\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG10} by Henry Garrett (2022), ``\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG11} by Henry Garrett (2022), ``\textit{Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG13} by Henry Garrett (2022), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG14} by Henry Garrett (2022),  ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'' in \textbf{Ref.} \cite{HG15} by Henry Garrett (2022),  ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs
}'' in \textbf{Ref.} \cite{HG16} by Henry Garrett (2022), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG12} by Henry Garrett (2022), ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG17} by Henry Garrett (2022), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG18} by Henry Garrett (2022),``\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}'' in \textbf{Ref.} \cite{HG19} by Henry Garrett (2022), ``\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}'' in \textbf{Ref.} \cite{HG20} by Henry Garrett (2022), ``\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}'' in \textbf{Ref.} \cite{HG21} by Henry Garrett (2022), ``\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}'' in \textbf{Ref.} \cite{HG22} by Henry Garrett (2022), ``\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}'' in \textbf{Ref.} \cite{HG23} by Henry Garrett (2022), ``\textit{SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG24} by Henry Garrett (2023), ``\textit{The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG25} by Henry Garrett (2023), ``\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG26} by Henry Garrett (2023), ``\textit{Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG27} by Henry Garrett (2023), ``\textit{Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG28} by Henry Garrett (2023), ``\textit{Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique}'' in \textbf{Ref.} \cite{HG29} by Henry Garrett (2023), ``\textit{Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG30} by Henry Garrett (2023), ``\textit{Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG31} by Henry Garrett (2023), ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'' in \textbf{Ref.} \cite{HG32} by Henry Garrett (2023), ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG33} by Henry Garrett (2023), ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'' in \textbf{Ref.} \cite{HG34} by Henry Garrett (2022),  ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG35} by Henry Garrett (2022), ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'' in \textbf{Ref.} \cite{HG36} by Henry Garrett (2022), ``\textit{Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph}'' in \textbf{Ref.} \cite{HG37} by Henry Garrett (2022), ``\textit{Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)}''  in \textbf{Ref.} \cite{HG38} by Henry Garrett (2022), and \cite{HG44s,HG55s,HG66s,HG4,HG5,HG6,HG7,HG8,HG9,HG10,HG11,HG12,HG13,HG14,HG15,HG16,HG17,HG18,HG19,HG20,HG21,HG22,HG23,HG24,HG25,HG26,HG27,HG28,HG29,HG30,HG31,HG32,HG33,HG34,HG35,HG36,HG37,HG38,HG94,HG942,HG95,HG952,HG96,HG962,HG97,HG972,HG98,HG982,HG106,HG107,HG111,HG112,HG115,HG116,HG120,HG121,HG122,HG123,HG124,HG125,HG126,HG127,HG128,HG129,HG130,HG131,HG132,HG134,HG135,HG136,HG137,HG138,HG139,HG140,HG141,HG142,HG143,HG144,HG145,HG146,HG147,HG148,HG149,HG150,HG151,HG152,HG153,HG154,HG155,HG156,HG157,HG158,HG159,HG160,HG161,HG162,HG163,HG164,HG165,HG166,HG167,HG168,HG169,HG170,HG171,HG172,HG173,HG174,HG175,HG176,HG177,HG178,HG179,HG180,HG181,HG182,HG183,HG184,HG185,HG186,HG187,HG188,HG189,HG190,HG191,HG192,HG193,HG194,HG195,HG196,HG197,HG198,HG199,HG200,HG201,HG202,HG203,HG204,HG205,HG206,HG207,HG208,HG209,HG210,HG211,HG212,HG213,HG214,HG215,HG217,HG218,HG219,HG220,HG221,HG222,HG223,HG224,HG225,HG226,HG228,HG230,HG231,HG232,HG233,HG234,HG235,HG236,HG237,HG238,HG239,HG240,HG241,HG242,HG243,HG244,HG245,HG246,HG247,HG248,HG249,HG250,HG251,HG252,HG253,HG254,HG255,HG256,HG257,HG258,HG259,HG260,HG261,HG262,HG263,HG264,HG265,HG266,HG267,HG268,HG269,HG270,HG271,HG272,HG273,HG274,HG275,HG276,HG277,HG278,HG279,HG280,HG281,HG282,HG283,HG284,HG285,HG286,HG287,HG288,HG289,HG290,HG291,HG292,HG293,HG294,HG295,HG296,HG297,HG298,HG299,HG300,HG301,HG302,HG303,HG304,HG305}, there are some endeavors to formalize the basic SuperHyperNotions about neutrosophic SuperHyperGraph and SuperHyperGraph alongside scientific research books at \cite{HG60b,HG61b,HG62b,HG63b,HG64b,HG65b,HG66b,HG67b,HG68b,HG69b,HG70b,HG71b,HG72b,HG73b,HG74b,HG75b,HG76b,HG77b,HG78b,HG79b,HG80b,HG81b,HG82b,HG83b,HG84b,HG85b,HG86b,HG87b,HG88b,HG89b,HG90b,HG91b,HG92b,HG93b,HG94b,HG95b,HG96b,HG97b,HG98b,HG99b,HG100b,HG101b,HG102b,HG103b,HG104b,HG105b,HG106b,HG107b,HG108b,HG109b,HG110b,HG111b,HG112b,HG113b,HG114b,HG115b,HG116b,HG117b,HG118b,HG119b,HG120b,HG121b,HG122b,HG123b,HG124b,HG125b,HG126b,HG127b,HG128b,HG129b,HG130b,HG131b,HG132b,HG133b,HG134b,HG135b,HG136b,HG137b,HG138b,HG139b,HG140b,HG141b,HG142b,HG143b,HG144b,HG145b,HG146b,HG147b,HG148b,HG149b,HG150b,HG151b,HG152b,HG153b,HG154b,HG155b,HG156b,HG157b,HG158b,HG159b,HG160b,HG161b,HG162b,HG163b,HG164b,HG165b,HG166b,HG167b,HG168b,HG169b,HG170b,HG171b,HG172b,HG173b,HG174b,HG175b,HG176b,HG177b,HG178b,HG179b,HG180b,HG181b,HG182b,HG183b,HG184b,HG185b,HG186b,HG187b,HG188b,HG189b,HG190b,HG191b}. Two popular scientific research books in Scribd in the terms of high readers, 4728 and 5721 respectively,  on neutrosophic science is on \cite{HG32b,HG44b}.  
\\
Some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG32b} by Henry Garrett (2023) which is indexed by Google Scholar and has more than 4728 readers in Scribd. It's titled ``\textit{Beyond Neutrosophic Graphs}'' and published by Dr. Henry Garrett. This research book covers different types of notions and settings in neutrosophic graph theory and neutrosophic SuperHyperGraph theory.
\\
Also, some scientific studies and scientific researches about neutrosophic graphs, are proposed as book in \textbf{Ref.} \cite{HG44b} by Henry Garrett (2023) which is indexed by Google Scholar and has more than 5721 readers in Scribd. It's titled ``\textit{Neutrosophic Duality}'' and published by Dr. Henry Garrett. This research book presents different types of notions SuperHyperResolving and SuperHyperDominating in the setting of duality in neutrosophic graph theory and neutrosophic SuperHyperGraph theory. This research book has scrutiny on the complement of the intended set and the intended set, simultaneously. It's smart to consider a set but acting on its complement that what's done in this research book which is popular in the terms of high readers in Scribd.
\\
See the seminal scientific researches \cite{HG11s,HG22s,HG33s}. The formalization of the notions on the framework of notions in SuperHyperGraphs, Neutrosophic notions in SuperHyperGraphs theory, and (Neutrosophic) SuperHyperGraphs theory at \cite{HG44s,HG55s,HG66s,HG4,HG5,HG6,HG7,HG8,HG9,HG10,HG11,HG12,HG13,HG14,HG15,HG16,HG17,HG18,HG19,HG20,HG21,HG22,HG23,HG24,HG25,HG26,HG27,HG28,HG29,HG30,HG31,HG32,HG33,HG34,HG35,HG36,HG37,HG38,HG94,HG942,HG95,HG952,HG96,HG962,HG97,HG972,HG98,HG982,HG106,HG107,HG111,HG112,HG115,HG116,HG120,HG121,HG122,HG123,HG124,HG125,HG126,HG127,HG128,HG129,HG130,HG131,HG132,HG134,HG135,HG136,HG137,HG138,HG139,HG140,HG141,HG142,HG143,HG144,HG145,HG146,HG147,HG148,HG149,HG150,HG151,HG152,HG153,HG154,HG155,HG156,HG157,HG158,HG159,HG160,HG161,HG162,HG163,HG164,HG165,HG166,HG167,HG168,HG169,HG170,HG171,HG172,HG173,HG174,HG175,HG176,HG177,HG178,HG179,HG180,HG181,HG182,HG183,HG184,HG185,HG186,HG187,HG188,HG189,HG190,HG191,HG192,HG193,HG194,HG195,HG196,HG197,HG198,HG199,HG200,HG201,HG202,HG203,HG204,HG205,HG206,HG207,HG208,HG209,HG210,HG211,HG212,HG213,HG214,HG215,HG217,HG218,HG219,HG220,HG221,HG222,HG223,HG224,HG225,HG226,HG228,HG230,HG231,HG232,HG233,HG234,HG235,HG236,HG237,HG238,HG239,HG240,HG241,HG242,HG243,HG244,HG245,HG246,HG247,HG248,HG249,HG250,HG251,HG252,HG253,HG254,HG255,HG256,HG257,HG258,HG259,HG260,HG261,HG262,HG263,HG264,HG265,HG266,HG267,HG268,HG269,HG270,HG271,HG272,HG273,HG274,HG275,HG276,HG277,HG278,HG279,HG280,HG281,HG282,HG283,HG284,HG285,HG286,HG287,HG288,HG289,HG290,HG291,HG292,HG293,HG294,HG295,HG296,HG297,HG298,HG299,HG300,HG301,HG302,HG303,HG304,HG305} alongside scientific research books at \cite{HG60b,HG61b,HG62b,HG63b,HG64b,HG65b,HG66b,HG67b,HG68b,HG69b,HG70b,HG71b,HG72b,HG73b,HG74b,HG75b,HG76b,HG77b,HG78b,HG79b,HG80b,HG81b,HG82b,HG83b,HG84b,HG85b,HG86b,HG87b,HG88b,HG89b,HG90b,HG91b,HG92b,HG93b,HG94b,HG95b,HG96b,HG97b,HG98b,HG99b,HG100b,HG101b,HG102b,HG103b,HG104b,HG105b,HG106b,HG107b,HG108b,HG109b,HG110b,HG111b,HG112b,HG113b,HG114b,HG115b,HG116b,HG117b,HG118b,HG119b,HG120b,HG121b,HG122b,HG123b,HG124b,HG125b,HG126b,HG127b,HG128b,HG129b,HG130b,HG131b,HG132b,HG133b,HG134b,HG135b,HG136b,HG137b,HG138b,HG139b,HG140b,HG141b,HG142b,HG143b,HG144b,HG145b,HG146b,HG147b,HG148b,HG149b,HG150b,HG151b,HG152b,HG153b,HG154b,HG155b,HG156b,HG157b,HG158b,HG159b,HG160b,HG161b,HG162b,HG163b,HG164b,HG165b,HG166b,HG167b,HG168b,HG169b,HG170b,HG171b,HG172b,HG173b,HG174b,HG175b,HG176b,HG177b,HG178b,HG179b,HG180b,HG181b,HG182b,HG183b,HG184b,HG185b,HG186b,HG187b,HG188b,HG189b,HG190b,HG191b}. Two popular scientific research books in Scribd ,in the terms of high readers, 4728 and 5721 respectively,  on neutrosophic science is on \cite{HG32b,HG44b}.

\begin{thebibliography}{595}

\bibitem{HG11s} Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph As Hyper Tool On Super Toot”, Curr Trends Mass Comm 2(1) (2023) 32-55. (https://www.opastpublishers.com/open-access-articles/new-ideas-in-recognition-of-cancer-and-neutrosophic-super-hypergraph-as-hyper-tool-on-super-toot.pdf)

\bibitem{HG22s} Henry Garrett, “\textit{Some Super Hyper Degrees and Co-Super Hyper Degrees on Neutrosophic Super Hyper Graphs And Super Hyper Graphs Alongside Applications in Cancer’s Treatments}”, J Math Techniques Comput Math 2(1) (2023) 35-47. (https://www.opastpublishers.com/open-access-articles/some-super-hyper-degrees-and-cosuper-hyper-degrees-on-neutrosophic-super-hyper-graphs-and-super-hyper-graphs-alongside-a.pdf)

\bibitem{HG33s} Henry Garrett, “\textit{A Research on Cancer's Recognition and Neutrosophic Super Hypergraph by Eulerian Super Hyper Cycles and Hamiltonian Sets as Hyper Covering Versus Super separations}”, J Math Techniques Comput Math 2(3) (2023) 136-148. (https://www.opastpublishers.com/open-access-articles/a-research-on-cancers-recognition-and-neutrosophic-super-hypergraph-by-eulerian-super-hyper-cycles-and-hamiltonian-sets-.pdf)

\bibitem{HG44s} Henry Garrett, “\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction to Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition and Beyond}”, J Math Techniques Comput Math 2(6) (2023) 221-307. (https://www.opastpublishers.com/open-access-articles/neutrosophic-1failed-superhyperforcing-in-the-superhyperfunction-to-use-neutrosophic-superhypergraphs-on-cancers-neutros.pdf)

\bibitem{HG55s} Henry Garrett, ``\textit{Neutrosophic Co-degree and Neutrosophic Degree alongside Chromatic Numbers in the Setting of Some Classes Related to Neutrosophic Hypergraphs}'', J Curr Trends Comp Sci Res 2(1) (2023) 16-24. (doi: 10.33140/JCTCSR.02.01.04)

\bibitem{HG66s} Henry Garrett, “\textit{Super Hyper Dominating and Super Hyper Resolving on Neutrosophic Super Hyper Graphs and Their Directions in Game Theory and Neutrosophic Super Hyper Classes}”, J Math Techniques Comput Math 1(3) (2022) 242-263. (doi: 10.33140/JMTCM.01.03.09)

\bibitem{HG4}
Garrett, Henry. ``\textit{0039 | Closing Numbers and Super-Closing Numbers as (Dual)Resolving and (Dual)Coloring alongside (Dual)Dominating in (Neutrosophic)n-SuperHyperGraph.}'' CERN European Organization for Nuclear Research - Zenodo, Nov. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.5281/zenodo.6319942.
https://oa.mg/work/10.5281/zenodo.6319942

\bibitem{HG5}
Garrett, Henry. ``\textit{0049 | (Failed)1-Zero-Forcing Number in Neutrosophic Graphs.}'' CERN European Organization for Nuclear Research - Zenodo, Feb. 2022. CERN European Organization for Nuclear Research, https://doi.org/10.13140/rg.2.2.35241.26724.
https://oa.mg/work/10.13140/rg.2.2.35241.26724

\bibitem{HG6}
Henry Garrett, ``\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1).

\bibitem{HG7}
Henry Garrett, ``\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}'', Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1).

\bibitem{HG8}
Henry Garrett, ``\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1).

\bibitem{HG9}
Henry Garrett, ``\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}'', Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1).

\bibitem{HG10}
Henry Garrett, ``\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1).

\bibitem{HG11}
Henry Garrett, ``\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}'', Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1).

\bibitem{HG12}
Henry Garrett, ``\textit{Extremism of the Attacked Body Under the Cancer's Circumstances Where Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1).

\bibitem{HG13}
Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1).

\bibitem{HG14}
Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1).

\bibitem{HG15}
Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', Preprints 2023, 2023010044

\bibitem{HG16}
Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1).

\bibitem{HG17}  Henry Garrett, \textit{``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}''}, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1).

\bibitem{HG18}  Henry Garrett, \textit{``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}''}, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1).
\bibitem{HG19}  Henry Garrett, \textit{``\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}''}, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1).
 \bibitem{HG20} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}'', Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1).
\bibitem{HG21} Henry Garrett, ``\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}'', Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1).
\bibitem{HG22} Henry Garrett, ``\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}'', Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1).
\bibitem{HG23} Henry Garrett, ``\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}'', Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1).
\bibitem{HG305}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Star and Wheel By CONNECTIVE DOMINATION As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.8196147).
\bibitem{HG304}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Bipartite and Path By CONNECTIVE DOMINATION As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.8196132).
\bibitem{HG303}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Multipartite and Cycle By CONNECTIVE DOMINATION As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.8196099).
\bibitem{HG302}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Bipartite and Path By DOMINATION As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.8187955).
\bibitem{HG301}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Star and Wheel By DOMINATION As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.8161878).
\bibitem{HG300}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph With Multipartite and Cycle By DOMINATION As Hyper Decoration On Super Density”, Zenodo 2023, (doi: 10.5281/zenodo.8176262).
\bibitem{HG299}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By SuperHyperPerfect Search As Hyper Perf On Super Perfidy”, Zenodo 2023, (doi: 10.5281/zenodo.8104836).
\bibitem{HG298}
Henry Garrett, “New Ideas On Super Perfidy By Hyper Perf Of SuperHyperPerfect Search In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8104857).
\bibitem{HG297}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Reverse Strict Dimension Dominating As Hyper Dimple On Super Dimity”, Zenodo 2023, (doi: 10.5281/zenodo.8092796).
\bibitem{HG296}
Henry Garrett, “New Ideas On Super Dimity By Hyper Dimple Of Reverse Strict Dimension Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8092766).
\bibitem{HG295}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Unequal Dimension Dominating As Hyper Dimple On Super Dimity”, Zenodo 2023, (doi: 10.5281/zenodo.8088438).
\bibitem{HG294}
Henry Garrett, “New Ideas On Super Dimity By Hyper Dimple Of Unequal Dimension Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8088387).
\bibitem{HG293}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Strict Dimension Dominating As Hyper Dimple On Super Dimity”, Zenodo 2023, (doi: 10.5281/zenodo.8084436).
\bibitem{HG292}
Henry Garrett, “New Ideas On Super Dimity By Hyper Dimple Of Strict Dimension Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8084420).
\bibitem{HG291}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Reverse Strict Connective As Hyper Conceit On Super Con”, Zenodo 2023, (doi: 10.5281/zenodo.8080100).
\bibitem{HG290}
Henry Garrett, “New Ideas On Super Con By Hyper Conceit Of Reverse Strict Connective In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8080068).
\bibitem{HG289}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Unequal Connective Dominating As Hyper Conceit On Super Con”, Zenodo 2023, (doi: 10.5281/zenodo.8078445).
\bibitem{HG288}
Henry Garrett, “New Ideas On Super Con By Hyper Conceit Of Unequal Connective Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8078543).
\bibitem{HG287}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Strict Connective Dominating As Hyper Conceit On Super Con”, Zenodo 2023, (doi: 10.5281/zenodo.8076416).
\bibitem{HG286}
Henry Garrett, “New Ideas On Super Con By Hyper Conceit Of Strict Connective Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8076399).
\bibitem{HG285}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Reverse Dimension Dominating As Hyper Dimple On Super Dimity”, Zenodo 2023, (doi: 10.5281/zenodo.8072171).
\bibitem{HG284}
Henry Garrett, “New Ideas On Super Dimity By Hyper Dimple Of Reverse Dimension Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8072267).
\bibitem{HG283}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Equal Dimension Dominating As Hyper Dimple On Super Dimity”, Zenodo 2023, (doi: 10.5281/zenodo.8067384).
\bibitem{HG282}
Henry Garrett, “New Ideas On Super Dimity By Hyper Dimple Of Equal Dimension Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8067409).
\bibitem{HG281}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Dimension Dominating As Hyper Dimple On Super Dimity”, Zenodo 2023, (doi: 10.5281/zenodo.8061927).
\bibitem{HG280}
Henry Garrett, “New Ideas On Super Dimity By Hyper Dimple Of Dimension Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8062016).
\bibitem{HG279}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Reverse Connective Dominating As Hyper Conceit On Super Con”, Zenodo 2023, (doi: 10.5281/zenodo.8057696).
\bibitem{HG278}
Henry Garrett, “New Ideas On Super Con By Hyper Conceit Of Reverse Connective Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8057753).
\bibitem{HG277}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Equal Connective Dominating As Hyper Conceit On Super Con”, Zenodo 2023, (doi: 10.5281/zenodo.8052893).
\bibitem{HG276}
Henry Garrett, “New Ideas On Super Con By Hyper Conceit Of Equal Connective Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8052925).
\bibitem{HG275}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Connective Dominating As Hyper Conceit On Super Con”, Zenodo 2023, (doi: 10.5281/zenodo.8051346).
\bibitem{HG274}
Henry Garrett, “New Ideas On Super Con By Hyper Conceit Of Connective Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8051360).
\bibitem{HG273}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By United Dominating As Hyper Ultra On Super Units”, Zenodo 2023, (doi: 10.5281/zenodo.8025707).
\bibitem{HG272}
Henry Garrett, “New Ideas On Super Units By Hyper Ultra Of United Dominating In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8027275).
\bibitem{HG271}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Zero Forcing As Hyper ford On Super forceps”, Zenodo 2023, (doi: 10.5281/zenodo.8017246).
\bibitem{HG270}
Henry Garrett, “New Ideas On Super forceps By Hyper ford Of Zero Forcing In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.8020128).
\bibitem{HG269}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Matrix-Based As Hyper mat On Super matte”, Zenodo 2023, (doi: 10.5281/zenodo.7978571).
\bibitem{HG268}
Henry Garrett, “New Ideas On Super mat By Hyper matte Of Matrix-Based In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7978857).
\bibitem{HG267}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Dominating-Edges As Hyper Dome On Super Eddy”, Zenodo 2023, (doi: 10.5281/zenodo.7940830).
\bibitem{HG266}
Henry Garrett, “New Ideas On Super Eddy By Hyper Dome Of Dominating-Edges In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7943578).
\bibitem{HG265}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Edge-Gap As Hyper Gape On Super Gab”, Zenodo 2023, (doi: 10.5281/zenodo.7916595).
\bibitem{HG264}
Henry Garrett, “New Ideas On Super Gab By Hyper Gape Of Edge-Gap In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7923632).
\bibitem{HG263}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Cycle-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7904698).
\bibitem{HG262}
Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Type-Cycle-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7904671).
\bibitem{HG261}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Cycle-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi: 10.5281/zenodo.7904529).
\bibitem{HG260}
Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Type-Cycle-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7904401).
\bibitem{HG259}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Cycle-Cut As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7871026).
\bibitem{HG258}
Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Type-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7874647).
\bibitem{HG257}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Neighbor As Hyper Nebbish On Super Nebulous”, Zenodo 2023, (doi: 10.5281/zenodo.7857856).
\bibitem{HG256}
Henry Garrett, “New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Cycle-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7857841).
\bibitem{HG255}
Henry Garrett, “New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi: 10.5281/zenodo.7855661).
\bibitem{HG254}
Henry Garrett, “New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Cycle-Decomposition In Recognition of Cancer With (Neutrosophic) SuperHyperGraph”, Zenodo 2023, (doi: 10.5281/zenodo.7855637).
\bibitem{HG253}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Cycle-Cut As Hyper Eulogy On Super EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7853867).
\bibitem{HG252}
Henry Garrett, “\textit{New Ideas On Super EULA By Hyper Eulogy Of Eulerian-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7853922).
\bibitem{HG251}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Path-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7851519).
\bibitem{HG250}
Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Type-Path-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7851550).
\bibitem{HG249}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Path-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7839333).
\bibitem{HG248}
Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Type-Path-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7840206).
\bibitem{HG247}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Type-Path-Cut As Hyper Eulogy On Super EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7834229).
\bibitem{HG246}
Henry Garrett, “\textit{New Ideas On Super EULA By Hyper Eulogy Of Eulerian-Type-Path-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7834261).
\bibitem{HG245}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7824560).
\bibitem{HG244}
Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Eulerian-Path-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7824623).
\bibitem{HG243}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7819531).
\bibitem{HG242}
Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Eulerian-Path-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7819579).
\bibitem{HG241}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph As Hyper Tool On Super Toot}”, Zenodo 2023, (doi: 10.5281/zenodo.7812236).
\bibitem{HG240}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By initial Eulerian-Path-Cut As Hyper initial Eulogy On Super initial EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7809365).
\bibitem{HG239}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Cut As Hyper Eulogy-Path-Cut On Super EULA-Path-Cut}”, Zenodo 2023, (doi: 10.5281/zenodo.7809358).
\bibitem{HG238}
Henry Garrett, “\textit{New Ideas On Super EULA By Hyper Eulogy Of Eulerian-Path-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7809219).
\bibitem{HG237}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Cut As Hyper Eulogy On Super EULA}”, Zenodo 2023, (doi: 10.5281/zenodo.7809328).
\bibitem{HG236}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7806767).
\bibitem{HG235}
Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Hamiltonian-Type-Cycle-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7806838).
\bibitem{HG234}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7804238).
\bibitem{HG233}
Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Hamiltonian-Type-Cycle-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7804228).
\bibitem{HG232}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Type-Cycle-Cut As Hyper Hamper On Super Hammy}”, Zenodo 2023, (doi: 10.5281/zenodo.7799902).
\bibitem{HG231}
Henry Garrett, “\textit{New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Type-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7804218).
\bibitem{HG230}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7796334).
\bibitem{HG228}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7793372).
\bibitem{HG226}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Cut As Hyper Hamper On Super Hammy}”, Zenodo 2023, (doi: 10.5281/zenodo.7791952).
\bibitem{HG225}
Henry Garrett, “\textit{New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Cycle-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7791982).
\bibitem{HG224}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7790026).
\bibitem{HG223}
Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Hamiltonian-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7790052).
\bibitem{HG222}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7787066).
\bibitem{HG221}
Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Hamiltonian-Decomposition In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7787094).
\bibitem{HG220}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cut As Hyper Hamper On Super Hammy}”, Zenodo 2023, (doi: 10.5281/zenodo.7781476).
\bibitem{HG219}
Henry Garrett, “\textit{New Ideas On Super Hammy By Hyper Hamper Of Hamiltonian-Cut In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7783082).
\bibitem{HG218}
Henry Garrett, “\textit{New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Trace-Neighbor As Hyper Nebbish On Super Nebulous}”, Zenodo 2023, (doi: 10.5281/zenodo.7777857).
\bibitem{HG217}
Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Trace-Neighbor In Recognition of Cancer With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7779286).
\bibitem{HG215}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Decomposition As Hyper Decompress On Super Decompensation}”, Zenodo 2023, (doi: 10.5281/zenodo.7771831).
\bibitem{HG214}
Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Trace-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7772468).
\bibitem{HG213}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Cut As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.20913.25446).
\bibitem{HG212}
Henry Garrett, “\textit{New Ideas On Super Tract By Hyper Track Of Trace-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, Zenodo 2023, (doi: 10.5281/zenodo.7764916).
\bibitem{HG211}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Neighbor As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11770.98247).
\bibitem{HG210}
Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Edge-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.12400.12808).
\bibitem{HG209}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Decomposition As Hyper Decompress On Super Decompensation}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22545.10089).
\bibitem{HG208}
Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Edge-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29544.34564).
\bibitem{HG207}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Cut As Hyper Edify On Super Eddy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11377.76644).
\bibitem{HG206}
Henry Garrett, “\textit{New Ideas On Super Eddy By Hyper Edify Of Edge-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23750.96329).
\bibitem{HG205}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Neighbor As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31366.24641).
\bibitem{HG204}
Henry Garrett, “\textit{New Ideas On Super Nebulous By Hyper Nebbish Of Vertex-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34721.68960).
\bibitem{HG203}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Decomposition As Hyper Decompress On Super Decompensation}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30212.81289).
\bibitem{HG202}
Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Vertex-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18468.76169).
\bibitem{HG201}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Cut As Hyper Vertu On Super Vertigo}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.24288.35842).
\bibitem{HG200}
Henry Garrett, “\textit{New Ideas On Super Vertigo By Hyper Vertu Of Vertex-Cut In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32467.25124).
\bibitem{HG199}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Neighbor As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31025.45925).
\bibitem{HG198}
Henry Garrett, “\textit{New Ideas On Super Nebulizer By Hyper Nub Of Stable-Neighbor In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17184.25602).
\bibitem{HG197}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Stable-Decompositions As Hyper Stain On Super Stagy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23423.28327).
\bibitem{HG196}
Henry Garrett, “\textit{New Ideas On Super Stale By Hyper Stalk Of Stable-Decompositions In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.28456.44805).
\bibitem{HG195}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By
Stable-Cut As Hyper Stain On Super Stagy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23525.68320).
\bibitem{HG194}
Henry Garrett, “\textit{New Ideas On Super Stale By Hyper Stalk Of Stable-Cut In Cancer's Recognition
With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.20170.24000).
\bibitem{HG193}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By
Clique-Neighbors As Hyper Nebbish On Super Nebulous}”, ResearchGate 2023, (doi:  10.13140/RG.2.2.36475.59683).
\bibitem{HG192}
Henry Garrett, “\textit{New Ideas On Super Nebulizer By Hyper Nub Of Clique-Neighbors In Cancer's
Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi:  10.13140/RG.2.2.29764.71046).
\bibitem{HG191}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By
Clique-Decompositions As Hyper Decompile On Super Decommission}”, ResearchGate 2023, (doi:  10.13140/RG.2.2.18780.87683).
\bibitem{HG190}
Henry Garrett, “\textit{New Ideas On Super Decompensation By Hyper Decompress Of Clique-
Decompositions In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.27169.48487).
\bibitem{HG189}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By
Clique-Cut As Hyper Click On Super Cliche}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.26134.01603).
\bibitem{HG188}
Henry Garrett, “\textit{New Ideas On Super Cliff By Hyper Cling Of Clique-Cut In Cancer's Recognition
With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.27392.30721).
\bibitem{HG187}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By
Space As Hyper Spin On Super Spacy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33028.40321).
\bibitem{HG186}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By List-
Coloring As Hyper List On Super Lisle}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21389.20966).
\bibitem{HG185}
Henry Garrett, “\textit{New Ideas On Super Lith By Hyper Lite Of List-Coloring In Cancer's Recognition
With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.16356.04489).
\bibitem{HG184}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Space As Hyper Sparse On Super Spark}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21756.21129).
\bibitem{HG183}
Henry Garrett, “\textit{New Ideas On Super Solidarity By Hyper Soul Of Space In Cancer's Recognition With (Extreme) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30983.68009).
\bibitem{HG182}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Connectivity As Hyper Disclosure On Super Closure}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.28552.29445).
\bibitem{HG181}
Henry Garrett, “\textit{New Ideas On Super Uniform By Hyper Deformation Of Edge-Connectivity In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.10936.21761).
\bibitem{HG180}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Connectivity As Hyper Leak On Super Structure}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35105.89447).
\bibitem{HG179}
Henry Garrett, “\textit{New Ideas On Super System By Hyper Explosions Of Vertex-Connectivity In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30072.72960).
\bibitem{HG178}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Tree-Decomposition As Hyper Forward On Super Returns}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31147.52003).
\bibitem{HG177}
Henry Garrett, “\textit{New Ideas On Super Nodes By Hyper Moves Of Tree-Decomposition In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32825.24163).
\bibitem{HG176}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Chord As Hyper Excellence On Super Excess}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13059.58401).
\bibitem{HG175}
Henry Garrett, “\textit{New Ideas On Super Gap By Hyper Navigations Of Chord In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11172.14720).
\bibitem{HG174}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyper(i,j)-Domination As Hyper Controller On Super Waves}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22011.80165).
\bibitem{HG173}
Henry Garrett, “\textit{New Ideas On Super Coincidence By Hyper Routes Of SuperHyper(i,j)-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30819.84003).
\bibitem{HG172}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperEdge-Domination As Hyper Reversion On Super Indirection}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.10493.84962).
\bibitem{HG171}
Henry Garrett, “\textit{New Ideas On Super Obstacles By Hyper Model Of SuperHyperEdge-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13849.29280).
\bibitem{HG170}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Domination As Hyper k-Actions On Super Patterns}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19944.14086).
\bibitem{HG169}
Henry Garrett, “\textit{New Ideas On Super Harmony By Hyper k-Function Of SuperHyperK-Domination In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23299.58404).
\bibitem{HG168}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Number As Hyper k-Partition On Super Layers}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33103.76968).
\bibitem{HG167}
Henry Garrett, “\textit{New Ideas On Super Gradient By Hyper k-Class Of SuperHyperK-Number In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23037.44003).
\bibitem{HG166}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperOrder As Hyper Enumerations On Super Landmarks}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35646.56641).
\bibitem{HG165}
Henry Garrett, “\textit{New Ideas On Super Analogous By Hyper Visions Of SuperHyperOrder In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.18030.48967).
\bibitem{HG164}
Henry Garrett, “\textit{New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperColoring As Hyper Categories On Super Neighbors}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13973.81121).

\bibitem{HG163}
Henry Garrett, “\textit{New Ideas On Super Relations By Hyper Identifications Of SuperHyperColoring In Cancer's Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34106.47047).

\bibitem{HG162} Henry Garrett, “\textit{New Ideas On Super Contradiction By Hyper Detection of SuperHyperDefensive In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13397.09446).

\bibitem{HG161}
Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperDimension As Hyper Distinguishing On Super Distances}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31956.88961).

\bibitem{HG160} Henry Garrett, “\textit{New Ideas On Super Locations By Hyper Differing Of SuperHyperDimension In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.15179.67361).

\bibitem{HG159}
Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperDominating As Hyper Closing On Super Messy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21510.45125).
\bibitem{HG158}
Henry Garrett, “\textit{New Ideas On Super Missing By Hyper Searching Of SuperHyperDominating In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13121.84321).
\bibitem{HG157}
Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperConnected As Hyper Group On Super Surge}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11758.69441).
\bibitem{HG156}
Henry Garrett, “\textit{New Ideas On Super Outbreak By Hyper Collections Of SuperHyperConnected In Cancer’s Recognition With (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31891.35367).
\bibitem{HG155}
Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperTotal As Hyper Covering On Super Infections}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19360.87048).
\bibitem{HG154}
Henry Garrett, “\textit{New Ideas On Super Extremism By Hyper Treatments Of SuperHyperTotal In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32363.21286).
\bibitem{HG153}
  Henry Garrett, “\textit{New Ideas On Super Isolation By Hyper Perfectness Of SuperHyperPerfect In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.23266.81602).
\bibitem{HG152}
Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperPerfect As Hyper Idealism On Super Vacancy}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19911.37285).
\bibitem{HG151}
Henry Garrett, “\textit{New Ideas In Cancer’s Recognition And Neutrosophic SuperHyperGraph By SuperHyperJoin As Hyper Separations On Super Sorts}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11050.90569).
\bibitem{HG150}
Henry Garrett, “\textit{New Ideas On Super connections By Hyper disconnections Of SuperHyperJoin In Cancer’s Recognition with (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17761.79206).
\bibitem{HG149}
Henry Garrett, “\textit{New Ideas On Super Mixed-Devastations By Hyper Decisions Of SuperHyperDuality In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34953.52320).
\bibitem{HG148}
Henry Garrett, “\textit{New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By SuperHyperDuality As Hyper Imaginations On Super Mixed-Illustrations}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33275.80161).
\bibitem{HG147}
Henry Garrett, “\textit{New Ideas In Cancer’s Recognition As (Neutrosophic) SuperHyperGraph By Path SuperHyperColoring As Hyper Correction On Super Faults}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.30182.50241).
\bibitem{HG146}
Henry Garrett, “\textit{New Ideas On Super Reflections By Hyper Rotations Of Path SuperHyperColoring In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33459.30243).
\bibitem{HG145}
Henry Garrett, “\textit{New Ideas As Hyper Deformations On Super Chains In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph By SuperHyperDensity}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13444.60806).
\bibitem{HG144}
Henry Garrett, “\textit{New Ideas As Hyper Ignorance By SuperHyperDensity On Super Resistances In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023, (doi:10.13140/RG.2.2.16800.05123).
\bibitem{HG143}
Henry Garrett, “\textit{New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-VI}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29913.80482).
\bibitem{HG142}
Henry Garrett, “\textit{New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-V}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33269.24809).                
\bibitem{HG141}
Henry Garrett, “\textit{New Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-IV}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.34946.96960).
\bibitem{HG140}
Henry Garrett, “\textit{A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-III}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.14814.31040).
\bibitem{HG139}
Henry Garrett, “\textit{A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-II}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.15653.17125).
\bibitem{HG138}
Henry Garrett, “\textit{A Research On Cancer’s Recognition and Neutrosophic SuperHyperGraph By Eulerian SuperHyperCycles and Hamiltonian Sets As Hyper Covering Versus Super separations-I}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.25719.50089).
\bibitem{HG137}
Henry Garrett, “\textit{New Ideas On Super Disruptions In Cancer’s Extreme Recognition As Neutrosophic SuperHyperGraph By Hyper Plans Called SuperHyperConnectivities}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.29441.94562).
\bibitem{HG136}
Henry Garrett, “\textit{Cancer’s Neutrosophic Recognition As Neutrosophic SuperHyperGraph By SuperHyperConnectivities As Hyper Diagnosis On Super Mechanism}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.17252.24968).
\bibitem{HG135}
  Henry Garrett,“\textit{Cancer’s Recognition and (Neutrosophic) SuperHyperGraph By the Criteria of Eulerian and Hamiltonian Type-Sets As Hyper Modified Cycles On Super Mess}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.16652.59525).
\bibitem{HG134}
Henry Garrett,“\textit{Eulerian and Hamiltonian In Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph On Super Interactions By Hyper Extensions of Cycles}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.34583.24485).

\bibitem{HG132} Henry Garrett,“\textit{SuperHyperGirth Type-Results on extreme SuperHyperGirth theory and (Neutrosophic) SuperHyperGraphs Toward Cancer’s extreme Recognition}”, Preprints 2023, 2023010396 (doi: 10.20944/preprints202301.0396.v1).

\bibitem{HG131} Henry Garrett,“\textit{Neutrosophic SuperHyperGraphs Warns Hyper Landmark of neutrosophic SuperHyperGirth In Super Type-Versions of Cancer’s neutrosophic Recognition}”, Preprints 2023, 2023010395 (doi: 10.20944/preprints202301.0395.v1).

\bibitem{HG130} Henry Garrett,“\textit{The Constructions of (Neutrosophic) SuperHyperGraphs on the Cancer’s Recognition in The Confrontation With Super Attacks In Hyper Situations By Implementing (Neutrosophic) 1-Failed SuperHyperForcing in The Technical Approaches to Neutralize SuperHyperViews}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.26240.51204).

\bibitem{HG129} Henry Garrett,“\textit{(Neutrosophic) 1-Failed SuperHyperForcing As the Entrepreneurs on Cancer’s Recognitions To Fail Forcing Style As the Super Classes With Hyper Effects In The Background of the Framework is So-Called (Neutrosophic) SuperHyperGraphs}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.12818.73925).

\bibitem{HG128} Henry Garrett,“\textit{Super Actions On The Types of Hyper Levels In The Sensible Neutrosophic SuperHyperGirth On Cancer’s Neutrosophic Recognition and Neutrosophic SuperHyperGraph}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.26836.88960).

\bibitem{HG127} Henry Garrett,“\textit{SuperHyperGirth Approaches on the Super Challenges on the Cancer’s Recognition In the Hyper Model of (Neutrosophic) SuperHyperGraph}”, ResearchGate 2023,(doi: 10.13140/RG.2.2.36745.93289).

\bibitem{HG126}  Henry Garrett,“\textit{Extreme SuperHyperClique as the Firm Scheme of Confrontation under Cancer’s Recognition as the Model in The Setting of (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010308 (doi: 10.20944/preprints202301.0308.v1).

\bibitem{HG125} Henry Garrett,“\textit{Uncertainty On The Act And Effect Of Cancer Alongside The Foggy Positions Of Cells Toward Neutrosophic Failed SuperHyperClique inside Neutrosophic SuperHyperGraphs Titled Cancer’s Recognition}”, Preprints 2023, 2023010282 (doi: 10.20944/preprints202301.0282.v1).

\bibitem{HG124}  Henry Garrett,“\textit{Neutrosophic Version Of Separates Groups Of Cells In Cancer’s Recognition On Neutrosophic SuperHyperGraphs}”, Preprints 2023, 2023010267 (doi: 10.20944/preprints202301.0267.v1).).

\bibitem{HG123}  Henry Garrett, “\textit{The Shift Paradigm To Classify Separately The Cells and Affected Cells Toward The Totality Under Cancer’s Recognition By New Multiple Definitions On the Sets Polynomials Alongside Numbers In The (Neutrosophic) SuperHyperMatching Theory Based on SuperHyperGraph and Neutrosophic SuperHyperGraph}”, Preprints 2023, 2023010265 (doi: 10.20944/preprints202301.0265.v1).

\bibitem{HG122} Henry Garrett,“\textit{Breaking the Continuity and Uniformity of Cancer In The Worst Case of Full Connections With Extreme Failed SuperHyperClique In Cancer’s Recognition Applied in (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010262,(doi: 10.20944/preprints202301.0262.v1).

\bibitem{HG121}  Henry Garrett, “\textit{Neutrosophic Failed SuperHyperStable as the Survivors on the Cancer’s Neutrosophic Recognition Based on Uncertainty to All Modes in Neutrosophic SuperHyperGraphs}”, Preprints 2023, 2023010240 (doi: 10.20944/preprints202301.0240.v1).

\bibitem{HG120} Henry Garrett, “\textit{Extremism of the Attacked Body Under the Cancer’s Circumstances Where Cancer’s Recognition Titled (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010224, (doi: 10.20944/preprints202301.0224.v1).

\bibitem{HG24} Henry Garrett,``\textit{SuperHyperMatching By (R-)Definitions And Polynomials To Monitor Cancer’s Recognition In Neutrosophic SuperHyperGraphs}'', ResearchGate 2023,(doi: 10.13140/RG.2.2.35061.65767).

\bibitem{HG25} Henry Garrett,``\textit{The Focus on The Partitions Obtained By Parallel Moves In The Cancer's Extreme Recognition With Different Types of Extreme SuperHyperMatching Set and Polynomial on (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.18494.15680).

\bibitem{HG26} Henry Garrett,``\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer's Recognition in the Perfect Connections of Cancer's Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922).

\bibitem{HG27} Henry Garrett,``\textit{Indeterminacy On The All Possible Connections of Cells In Front of Cancer's Attacks In The Terms of Neutrosophic Failed SuperHyperClique on Cancer's Recognition called Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.15897.70243).

\bibitem{HG116}  Henry Garrett,“\textit{Extreme Failed SuperHyperClique Decides the Failures on the Cancer’s Recognition in the Perfect Connections of Cancer’s Attacks By SuperHyperModels Named (Neutrosophic) SuperHyperGraphs}”, ResearchGate 2023, (doi: 10.13140/RG.2.2.32530.73922).

\bibitem{HG115}  Henry Garrett, “\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1).

\bibitem{HG28} Henry Garrett,``\textit{Perfect Directions Toward Idealism in Cancer's Neutrosophic Recognition Forwarding Neutrosophic SuperHyperClique on Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.30092.80004).

\bibitem{HG29} Henry Garrett,``\textit{Demonstrating Complete Connections in Every Embedded Regions and Sub-Regions in the Terms of Cancer's Recognition and (Neutrosophic) SuperHyperGraphs With (Neutrosophic) SuperHyperClique}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.23172.19849).

\bibitem{HG112}  Henry Garrett, “\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010105 (doi: 10.20944/preprints202301.0105.v1).

\bibitem{HG111} Henry Garrett, “\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}”, Preprints 2023, 2023010088 (doi: 10.20944/preprints202301.0088.v1).

\bibitem{HG30} Henry Garrett,``\textit{Different Neutrosophic Types of Neutrosophic Regions titled neutrosophic Failed SuperHyperStable in Cancer’s Neutrosophic Recognition modeled in the Form of Neutrosophic SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.17385.36968).

\bibitem{HG107} Henry Garrett, “\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}”, Preprints 2023, 2023010044

\bibitem{HG106} Henry Garrett, “\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well- SuperHyperModelled (Neutrosophic) SuperHyperGraphs}”, Preprints 2023, 2023010043 (doi: 10.20944/preprints202301.0043.v1).

\bibitem{HG31} Henry Garrett, ``\textit{Using the Tool As (Neutrosophic) Failed SuperHyperStable To SuperHyperModel Cancer's Recognition Titled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.28945.92007).

\bibitem{HG32} Henry Garrett, ``\textit{Neutrosophic Messy-Style SuperHyperGraphs To Form Neutrosophic SuperHyperStable To Act on Cancer’s Neutrosophic Recognitions In Special ViewPoints}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.11447.80803).

\bibitem{HG33} Henry Garrett, ``\textit{(Neutrosophic) SuperHyperStable on Cancer’s Recognition by Well-SuperHyperModelled (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2023, (doi: 10.13140/RG.2.2.35774.77123).

\bibitem{HG34} Henry Garrett, ``\textit{Neutrosophic 1-Failed SuperHyperForcing in the SuperHyperFunction To Use Neutrosophic SuperHyperGraphs on Cancer’s Neutrosophic Recognition And Beyond}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.36141.77287).

\bibitem{HG35} Henry Garrett, ``\textit{(Neutrosophic) 1-Failed SuperHyperForcing in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.29430.88642).

\bibitem{HG36} Henry Garrett, ``\textit{Basic Notions on (Neutrosophic) SuperHyperForcing And (Neutrosophic) SuperHyperModeling in Cancer’s Recognitions And (Neutrosophic) SuperHyperGraphs}'', ResearchGate 2022, (doi: 10.13140/RG.2.2.11369.16487).

\bibitem{HG982}  Henry Garrett, “\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}”, Preprints 2022, 2022120549 (doi: 10.20944/preprints202212.0549.v1).

\bibitem{HG98}  Henry Garrett, “\textit{(Neutrosophic) SuperHyperModeling of Cancer’s Recognitions Featuring (Neutrosophic) SuperHyperDefensive SuperHyperAlliances}”, ResearchGate 2022, (doi: 10.13140/RG.2.2.19380.94084).

\bibitem{HG972}  Henry Garrett, “\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}”, Preprints 2022, 2022120540 (doi: 10.20944/preprints202212.0540.v1).

\bibitem{HG97}  Henry Garrett, “\textit{(Neutrosophic) SuperHyperAlliances With SuperHyperDefensive and SuperHyperOffensive Type-SuperHyperSet On (Neutrosophic) SuperHyperGraph With (Neutrosophic) SuperHyperModeling of Cancer’s Recognitions And Related (Neutrosophic) SuperHyperClasses}”, ResearchGate 2022, (doi: 10.13140/RG.2.2.14426.41923).

\bibitem{HG962} Henry Garrett, “\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}”, Preprints 2022, 2022120500 (doi: 10.20944/preprints202212.0500.v1).

\bibitem{HG96} Henry Garrett, “\textit{SuperHyperGirth on SuperHyperGraph and Neutrosophic SuperHyperGraph With SuperHyperModeling of Cancer’s Recognitions}”, ResearchGate 2022 (doi: 10.13140/RG.2.2.20993.12640).

\bibitem{HG952}  Henry Garrett,“\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs and SuperHyperGraphs Alongside Applications in Cancer’s Treatments}”, Preprints 2022, 2022120324 (doi: 10.20944/preprints202212.0324.v1).

\bibitem{HG95} Henry Garrett, “\textit{Some SuperHyperDegrees and Co-SuperHyperDegrees on Neutrosophic SuperHyperGraphs And SuperHyperGraphs Alongside Applications in Cancer’s Treatments}”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23123.04641).

\bibitem{HG942}  Henry Garrett, “\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}”, Preprints 2022, 2022110576 (doi: 10.20944/preprints202211.0576.v1).

\bibitem{HG94} Henry Garrett, “\textit{SuperHyperDominating and SuperHyperResolving on Neutrosophic SuperHyperGraphs And Their Directions in Game Theory and Neutrosophic SuperHyperClasses}”, ResearchGate 2022 (doi: 10.13140/RG.2.2.23324.56966).

\bibitem{HG37}  Henry Garrett, \textit{``\textit{Basic Neutrosophic Notions Concerning SuperHyperDominating and Neutrosophic SuperHyperResolving in SuperHyperGraph}''}, ResearchGate 2022 (doi: 10.13140/RG.2.2.29173.86244).

\bibitem{HG38} Henry Garrett, ``\textit{Initial Material of Neutrosophic Preliminaries to Study Some Neutrosophic Notions Based on Neutrosophic SuperHyperEdge (NSHE) in Neutrosophic SuperHyperGraph (NSHG)}'', ResearchGate 2022 (doi: 10.13140/RG.2.2.25385.88160).

\bibitem{HG191b}
Henry Garrett, “Connective Domination In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8194003).

\bibitem{HG190b}
Henry Garrett, “Domination In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8113416).

\bibitem{HG189b}
Henry Garrett, “SuperHyperPerfect Search In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8104880).

\bibitem{HG188b}
Henry Garrett, “Reverse Strict Dimension Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8092816).

\bibitem{HG187b}
Henry Garrett, “Unequal Dimension Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8090194).

\bibitem{HG186b}
Henry Garrett, “Strict Dimension Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8086310).

\bibitem{HG185b}
Henry Garrett, “Reverse Strict Connective In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8080167).

\bibitem{HG184b}
Henry Garrett, “Unequal Connective Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8078574).

\bibitem{HG183b}
Henry Garrett, “Strict Connective Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8076449).

\bibitem{HG182b}
Henry Garrett, “Reverse Dimension Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8072310).

\bibitem{HG181b}
Henry Garrett, “Equal Dimension Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8067469).

\bibitem{HG180b}
Henry Garrett, “Dimension Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8062076).

\bibitem{HG179b}
Henry Garrett, “Reverse Connective Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8057817).

\bibitem{HG178b}
Henry Garrett, “Equal Connective Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8052976).

\bibitem{HG177b}
Henry Garrett, “Connective Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8051368).

\bibitem{HG176b}
Henry Garrett, “United Dominating In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8027488).

\bibitem{HG175b}
Henry Garrett, “Zero Forcing In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.8020181).

\bibitem{HG174b}
Henry Garrett, “Matrix-Based In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7978921).

\bibitem{HG173b}
Henry Garrett, “Collections of Math II”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7943878).

\bibitem{HG172b}
Henry Garrett, “Dominating-Edges In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7943871).

\bibitem{HG171b}
Henry Garrett, “Edge-Gap In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7923786).

\bibitem{HG170b}
Henry Garrett, “Eulerian-Type-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7905287).

\bibitem{HG169b}
Henry Garrett, “Eulerian-Type-Cycle-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7904586).

\bibitem{HG168b}
Henry Garrett, “Eulerian-Type-Cycle-Cut In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7874677).

\bibitem{HG167b}
Henry Garrett, “Eulerian-Cycle-Neighbor In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7857906).

\bibitem{HG166b}
Henry Garrett, “Eulerian-Cycle-Decomposition In SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7856329).

\bibitem{HG165b}
Henry Garrett, “\textit{Eulerian-Cycle-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7854561).

\bibitem{HG164b}
Henry Garrett, “\textit{Eulerian-Type-Path-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7851893).

\bibitem{HG163b}
Henry Garrett, “\textit{Eulerian-Type-Path-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7848019).

\bibitem{HG162b}
Henry Garrett, “\textit{Eulerian-Type-Path-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7835063).

\bibitem{HG161b}
Henry Garrett, “\textit{Eulerian-Path-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7826705).

\bibitem{HG160b}
Henry Garrett, “\textit{Eulerian-Path-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7820680).

\bibitem{HG159b}
Henry Garrett, “\textit{Eulerian-Path-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7812750).

\bibitem{HG158b}
Henry Garrett, “\textit{Hamiltonian-Type-Cycle-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7812142).

\bibitem{HG157b}
Henry Garrett, “\textit{Hamiltonian-Type-Cycle-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7810394).

\bibitem{HG156b}
Henry Garrett, “\textit{Hamiltonian-Type-Cycle-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7807782).

\bibitem{HG155b}
Henry Garrett, “\textit{Hamiltonian-Cycle-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7804449).

\bibitem{HG154b}
Henry Garrett, “\textit{Hamiltonian-Cycle-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7793875).

\bibitem{HG153b}
 Henry Garrett, “\textit{Hamiltonian-Cycle-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7792307).

\bibitem{HG152b} Henry Garrett, “\textit{Hamiltonian-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7790728).

\bibitem{HG151b} Henry Garrett, “\textit{Hamiltonian-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7787712).

\bibitem{HG150b} Henry Garrett, “\textit{Hamiltonian-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7783791).

\bibitem{HG149b} Henry Garrett, “\textit{Trace-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7780123).

\bibitem{HG148b} Henry Garrett, “\textit{Trace-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7773119).

\bibitem{HG147b} Henry Garrett, “\textit{SuperHyperDuality}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7637762).

\bibitem{HG146b} Henry Garrett, “\textit{Trace-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7766174).

\bibitem{HG145b}Henry Garrett, “\textit{Edge-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7762232).

\bibitem{HG144b} Henry Garrett, “\textit{Edge-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7758601).

\bibitem{HG143b} Henry Garrett, “\textit{Edge-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7754661).

\bibitem{HG142b} Henry Garrett, “\textit{Vertex-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7750995) .

\bibitem{HG141b} Henry Garrett, “\textit{Vertex-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7749875).

\bibitem{HG140b} Henry Garrett, “\textit{Vertex-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7747236).

\bibitem{HG139b} Henry Garrett, “\textit{Stable-Neighbor In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7742587).

\bibitem{HG138b} Henry Garrett, “\textit{Stable-Decompositions In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7738635).

\bibitem{HG137b} Henry Garrett, “\textit{Stable-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7734719).

\bibitem{HG136b} Henry Garrett, “\textit{Clique-Neighbors In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7730484).

\bibitem{HG135b} Henry Garrett, “\textit{Clique-Decompositions In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7730469).

\bibitem{HG134b} Henry Garrett, “\textit{Clique-Cut In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7722865).

\bibitem{HG133b} Henry Garrett, “\textit{Space In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7713563).

\bibitem{HG132b} Henry Garrett, “\textit{Space In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7709116).

\bibitem{HG131b} Henry Garrett, “\textit{Edge-Connectivity In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7706415).

\bibitem{HG130b} Henry Garrett, “\textit{Vertex-Connectivity In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7706063).

\bibitem{HG129b} Henry Garrett, “\textit{Tree-Decomposition In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7701906).

\bibitem{HG128b} Henry Garrett, “\textit{Chord In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7700205).

\bibitem{HG127b} Henry Garrett, “\textit{(i,j)-Domination In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7694876).

\bibitem{HG126b} Henry Garrett, “\textit{Edge-Domination In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7679410).

\bibitem{HG125b} Henry Garrett, “\textit{K-Domination In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7675982).

\bibitem{HG124b} Henry Garrett, “\textit{K-Number In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7672388).

\bibitem{HG123b} Henry Garrett, “\textit{Order In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7668648).

\bibitem{HG122b} Henry Garrett, “\textit{Coloring In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7662810).

\bibitem{HG121b} Henry Garrett, “\textit{Dimension In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7659162).

\bibitem{HG120b} Henry Garrett, “\textit{Cancer In SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653233).

\bibitem{HG119b} Henry Garrett, “\textit{SuperHyperWheel}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653204).

\bibitem{HG118b} Henry Garrett, “\textit{SuperHyperMultipartite}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653142).

\bibitem{HG117b} Henry Garrett, “\textit{SuperHyperBipartite}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653117).

\bibitem{HG116b} Henry Garrett, “\textit{SuperHyperStar}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7653089).

\bibitem{HG115b} Henry Garrett, “\textit{SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651687).

\bibitem{HG114b} Henry Garrett, “\textit{SuperHyperPath}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651619).

\bibitem{HG113b} Henry Garrett, “\textit{SuperHyperDomination}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7651439).

\bibitem{HG112b} Henry Garrett, “\textit{SuperHyperDominating}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7650729).

\bibitem{HG111b} Henry Garrett, “\textit{SuperHyperConnected}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7647868).

\bibitem{HG110b} Henry Garrett, “\textit{SuperHyperTotal}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7647017).

\bibitem{HG109b} Henry Garrett, “\textit{SuperHyperPerfect}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7644894).

\bibitem{HG108b} Henry Garrett, “\textit{SuperHyperJoin}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7641880).

\bibitem{HG107b} Henry Garrett, “\textit{Path SuperHyperColoring}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7632923).

\bibitem{HG106b} Henry Garrett, “\textit{SuperHyperDensity}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7623459).

\bibitem{HG105b} Henry Garrett, “\textit{Neutrosophic SuperHyperConnectivities}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606416).

\bibitem{HG104b} Henry Garrett, “\textit{Extreme SuperHyperConnectivities}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606416).

\bibitem{HG103b} Henry Garrett, “\textit{SuperHyperConnectivities}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7606404).

\bibitem{HG102b} Henry Garrett, “\textit{Neutrosophic SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018).

\bibitem{HG101b} Henry Garrett, “\textit{Extreme SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018).

\bibitem{HG100b} Henry Garrett, “\textit{Extreme SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7580018).

\bibitem{HG99b} Henry Garrett, “\textit{SuperHyperCycle}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7579929).

\bibitem{HG98b} Henry Garrett, “\textit{Neutrosophic SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563170).

\bibitem{HG97b} Henry Garrett, “\textit{Extreme SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563164).
   
   \bibitem{HG96b} Henry Garrett, “\textit{SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160).
   
   \bibitem{HG95b} Henry Garrett, “\textit{Extreme SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160).
   
   \bibitem{HG94b} Henry Garrett, “\textit{Overlook On SuperHyperGirth}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7563160).
   
   \bibitem{HG93b} Henry Garrett, “\textit{Neutrosophic SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7557063).
   
   \bibitem{HG92b} Henry Garrett, “\textit{Extreme SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7557009).
   
   \bibitem{HG91b} Henry Garrett, “\textit{Overlook On SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7539484).
   
   \bibitem{HG90b} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390).
   
   \bibitem{HG89b} Henry Garrett, “\textit{Extreme Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390).
   
   \bibitem{HG88b} Henry Garrett, “\textit{Overlook On Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390).
   
   \bibitem{HG87b} Henry Garrett, “\textit{Extreme SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7574952).
   
  \bibitem{HG86b} Henry Garrett, “\textit{Neutrosophic SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7574992).
 
   \bibitem{HG85b} Henry Garrett, “\textit{Extreme SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357).
   
   \bibitem{HG84b} Henry Garrett, “\textit{Overlook On SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357).
   
   \bibitem{HG83b} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782).
   
   \bibitem{HG82b} Henry Garrett, “\textit{Extreme Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782).
   
   \bibitem{HG81b} Henry Garrett, “\textit{Overlook On Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782).
   
   \bibitem{HG80b} Henry Garrett, “\textit{Neutrosophic SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395).
   
   \bibitem{HG79b} Henry Garrett, “\textit{Extreme SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395).
   
   \bibitem{HG78b} Henry Garrett, “\textit{Overlook On SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395).
   
 \bibitem{HG77b} Henry Garrett, “\textit{Neutrosophic Failed SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450).
 
  \bibitem{HG76b} Henry Garrett, “\textit{Extreme Failed SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450).
 
   \bibitem{HG75b} Henry Garrett, “\textit{Neutrosophic SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862).
   
  \bibitem{HG74b} Henry Garrett, “\textit{Extreme SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862).
 
   \bibitem{HG73b} Henry Garrett, “\textit{Overlook On SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862).
   
   \bibitem{HG72b} Henry Garrett, “\textit{Neutrosophic SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845).
   
   \bibitem{HG71b} Henry Garrett, “\textit{Extreme SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845).
   
 \bibitem{HG70b} Henry Garrett, “\textit{Overlook On SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845).
 
   \bibitem{HG69b} Henry Garrett, “\textit{SuperHyperMatching}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7539484).
   
   \bibitem{HG68b} Henry Garrett, “\textit{Failed SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523390).
   
   \bibitem{HG67b} Henry Garrett, “\textit{SuperHyperClique}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7523357).  
   
   \bibitem{HG66b} Henry Garrett, “\textit{Failed SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7504782).
   
 \bibitem{HG65b} Henry Garrett, “\textit{SuperHyperStable}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7499395).
 
   \bibitem{HG64b} Henry Garrett, “\textit{Failed SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7497450).
   
   \bibitem{HG63b} Henry Garrett, “\textit{SuperHyperForcing}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7494862).
   
 \bibitem{HG62b} Henry Garrett, “\textit{SuperHyperAlliances}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7493845).
 
\bibitem{HG61b} Henry Garrett, “\textit{SuperHyperGraphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7480110).

   \bibitem{HG60b} Henry Garrett, “\textit{Neut. SuperHyperEdges}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.7378758).
   
 \bibitem{HG32b} Henry Garrett, “\textit{Beyond Neutrosophic Graphs}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.6320305).
   
 \bibitem{HG44b} Henry Garrett, “\textit{Neutrosophic Duality}”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.6677173).

\end{thebibliography}

\end{document}