Published 2018 | Version v1

On maximum signless Laplacian Estrada index of graphs with given parameters II

  • 1. Department of Mathematics, Faculty of Science, University of Qom
  • 2. Department of Mathematics, Statistics and Computer Science, Faculty of Science, University of Kashan, Kashan

Description

The signless Laplacian Estrada index of a graph G is defined as SLEE(G)?ni= 1 eqi where q1, q2,....,qn are the eigenvalues of the signless Laplacian matrix of G. Following the previous work in which we have identified the unique graphs with maximum signless Laplacian Estrada index with each of the given parameters, namely, number of cut edges, pendent vertices, (vertex) connectivity, and edge connectivity, in this paper we continue our characterization for two further parameters: diameter and number of cut vertices. 2018 Indonesian Combinatorics Society.

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