On the Laplacian Estrada index of a graph

Jianxi Li; Wai Chee Shiu; An Chang

doi:10.2298/AADM0901147L

On the Laplacian Estrada index of a graph

Jianxi Li^*, Wai Chee Shiu, An Chang

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

42 Citations (Scopus)

Abstract

Let G be a graph of order n. Let λ₁, λ₂, ... , λ_n be the eigenvalues of the adjacency matrix of G, and let μ₁, μ₂, ... , μ_n be the eigenvalues of the Laplacian matrix of G. Much studied Estrada index of the graph G is defined as We define and investigate the Laplacian Estrada index of the graph G, Bounds for LEE are obtained, as well as some relations between LEE and graph Laplacian energy.

Original language	English
Pages (from-to)	147-156
Number of pages	10
Journal	Applicable Analysis and Discrete Mathematics
Volume	3
Issue number	1
DOIs	https://doi.org/10.2298/AADM0901147L
Publication status	Published - Apr 2009

Scopus Subject Areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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Bound
Laplacian energy
Laplacian estrada index

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10.2298/AADM0901147L

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AB - Let G be a graph of order n. Let λ1, λ2, ... , λn be the eigenvalues of the adjacency matrix of G, and let μ1, μ2, ... , μn be the eigenvalues of the Laplacian matrix of G. Much studied Estrada index of the graph G is defined as We define and investigate the Laplacian Estrada index of the graph G, Bounds for LEE are obtained, as well as some relations between LEE and graph Laplacian energy.

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KW - Laplacian estrada index

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On the Laplacian Estrada index of a graph

Abstract

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