On Maximum Signless Laplacian Estrada Index of Graphs with Given Parameters II

Ramin Nasiri; Hamid Reza Ellahi; Gholam Hossein Fath-Tabar; Ahmad Gholami

On Maximum Signless Laplacian Estrada Index of Graphs with Given Parameters II

Combinatorics 2014-10-02 v1

Authors: Ramin Nasiri , Hamid Reza Ellahi , Gholam Hossein Fath-Tabar , Ahmad Gholami

Abstract

Recently Ayyaswamy [1] have introduced a novel concept of the signless Laplacian Estrada index (after here $SLEE$ ) associated with a graph $G$ . After works, we have identified the unique graph with maximum $SLEE$ with a given parameter such as: number of cut vertices, (vertex) connectivity and edge connectivity. In this paper we continue out characterization for two further parameters; diameter and number of cut vertices.

Keywords

signless Laplacian Estrada index graph theory cut vertices connectivity diameter extremal graphs

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@article{arxiv.1410.0229,
  title  = {On Maximum Signless Laplacian Estrada Index of Graphs with Given Parameters II},
  author = {Ramin Nasiri and Hamid Reza Ellahi and Gholam Hossein Fath-Tabar and Ahmad Gholami},
  journal= {arXiv preprint arXiv:1410.0229},
  year   = {2014}
}

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12 pages, 4 figures

On Maximum Signless Laplacian Estrada Index of Graphs with Given Parameters II

Abstract

Keywords

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