The normalized signless laplacian estrada index of graphs

Let $G$ be a simple connected graph of order $n$ with $m$ edges. Denote by $% \gamma _{1}^{+}\geq \gamma _{2}^{+}\geq \cdots \geq \gamma _{n}^{+}\geq 0$ the normalized signless Laplacian eigenvalues of $G$. In this work, we define the normalized signless Laplacian Estrada index of $G$ as $NSEE\left(...

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Bibliographic Details
Published inTransactions on combinatorics Vol. 12; no. 3; pp. 131 - 142
Main Authors Ş. Burcu Bozkurt Altındağ, Emina Milovanovic, Marjan Matejic, Igor Milovanovic
Format Journal Article
LanguageEnglish
Published University of Isfahan 01.09.2023
Subjects
estrada index (of graph)
normalized signless laplacian eigenvalues
topological indices (of graph)
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Summary:Let $G$ be a simple connected graph of order $n$ with $m$ edges. Denote by $% \gamma _{1}^{+}\geq \gamma _{2}^{+}\geq \cdots \geq \gamma _{n}^{+}\geq 0$ the normalized signless Laplacian eigenvalues of $G$. In this work, we define the normalized signless Laplacian Estrada index of $G$ as $NSEE\left(G\right) =\sum_{i=1}^{n}e^{\gamma _{i}^{+}}.$ Some lower bounds on $%NSEE\left( G\right) $ are also established.
ISSN:2251-8657
2251-8665
DOI:10.22108/toc.2022.127155.1814