Girth in Neutrosophic Graphs

In this book, some notions are introduced about “Girth in Neutrosophic Graphs.” Three chapters are devised as “Neutrosophic Girth Based On Crisp Cycle in Neutrosophic Graphs”, “Neutrosophic Girth Based On Neutrosophic Cycle in Neutrosophic Graphs” and “Neutrosophic Girth Polynomial Based On Neutrosophic Cycle and Crisp Cycle in Neutrosophic Graphs”. Three manuscripts are cited as the references of these chapters which are my 62nd, 63rd, and 64th manuscripts. I’ve used my 62nd, 63rd, and 64th manuscripts to write this book.

In first chapter, there are some points as follow. New setting is introduced to study girth and neutrosophic girth arising from shortest cycles.

In second chapter, there are some points as follow. New setting is introduced to study girth and neutrosophic girth arising from shortest neutrosophic cycles.

In third chapter, there are some points as follow. New setting is introduced to study girth polynomial and neutrosophic girth polynomial arising counting neutrosophic cycles and crisp cycles in strong neutrosophic graphs based on neutrosophic cycles and in neutrosophic graphs based on crisp cycles.

The following references are cited by chapters.

[Ref1] Henry Garrett, “Neutrosophic Girth Based On Crisp Cycle in Neutro- sophic Graphs”, ResearchGate 2022 (doi: 10.13140/RG.2.2.14011.69923).

[Ref2] Henry Garrett, “Finding Shortest Sequences of Consecutive Vertices in Neutrosophic Graphs”, ResearchGate 2022 (doi: 10.13140/RG.2.2.22924.59526).

[Ref3] Henry Garrett, “Some Polynomials Related to Numbers in Classes of (Strong) Neutrosophic Graphs”, ResearchGate 2022 (doi: 10.13140/RG.2.2.36280.83204).

Three chapters are devised as “Neutrosophic Girth Based On Crisp Cycle in Neutro- sophic Graphs”, “Neutrosophic Girth Based On Neutrosophic Cycle in Neutrosophic Graphs” and “Neutrosophic Girth Polynomial Based On Neutrosophic Cycle and Crisp Cycle in Neutrosophic Graphs”.