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(...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of Isfahan
2023-09-01
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| Series: | Transactions on Combinatorics |
| Subjects: | |
| Online Access: | https://toc.ui.ac.ir/article_26789_9c9907d54350ec8e47c22a708eaa9627.pdf |
| 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. |
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| ISSN: | 2251-8657 2251-8665 |