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 › Article › peer-review

39 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

User-Defined Keywords

Bound
Laplacian energy
Laplacian estrada index

Access to Document

10.2298/AADM0901147L

Cite this

@article{916be6e40a584039ab22fbe9b82c2ad3,

title = "On the Laplacian Estrada index of a graph",

abstract = "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.",

keywords = "Bound, Laplacian energy, Laplacian estrada index",

author = "Jianxi Li and SHIU, {Wai Chee} and An Chang",

year = "2009",

month = apr,

doi = "10.2298/AADM0901147L",

language = "English",

volume = "3",

pages = "147--156",

journal = "Applicable Analysis and Discrete Mathematics",

issn = "1452-8630",

publisher = "University of Belgrade",

number = "1",

}

TY - JOUR

T1 - On the Laplacian Estrada index of a graph

AU - Li, Jianxi

AU - SHIU, Wai Chee

AU - Chang, An

PY - 2009/4

Y1 - 2009/4

N2 - 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.

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.

KW - Bound

KW - Laplacian energy

KW - Laplacian estrada index

UR - http://www.scopus.com/inward/record.url?scp=77955289066&partnerID=8YFLogxK

U2 - 10.2298/AADM0901147L

DO - 10.2298/AADM0901147L

M3 - Article

AN - SCOPUS:77955289066

SN - 1452-8630

VL - 3

SP - 147

EP - 156

JO - Applicable Analysis and Discrete Mathematics

JF - Applicable Analysis and Discrete Mathematics

IS - 1

ER -

On the Laplacian Estrada index of a graph

Abstract

Scopus Subject Areas

User-Defined Keywords

Access to Document

Other files and links

Fingerprint

Cite this