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author:

Li, Jianxi (Li, Jianxi.) [1] | Shiu, Wai Chee (Shiu, Wai Chee.) [2] | Chang, An (Chang, An.) [3] (Scholars:常安)

Indexed by:

Scopus SCIE

Abstract:

Let G be a graph of order n . Let lambda(1), lambda(2), ... , lambda(n) be the eigenvalues of the adjacency matrix of G, and let mu(1), mu(2), ... , mu(n) be the eigenvalues of theLaplacian matrix of G. Much studied Estrada index of the graph G is defined as EE = EE (G) = Sigma(n)(i=1) e(lambda i). We define and investigate the Laplacian Estrada index of the graph G, LEE = LEE (G) = Sigma(n)(i=1) e((mu i - 2m/n)). Bounds for LEE are obtained,as well as some relations between LEE and graph Laplacian energy.

Keyword:

bound Laplacian energy Laplacian Estrada index

Community:

  • [ 1 ] [Li, Jianxi]Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
  • [ 2 ] [Shiu, Wai Chee]Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
  • [ 3 ] [Chang, An]Fuzhou Univ, Software Coll, Ctr Discrete Math, Fuzhou 350002, Fujian, Peoples R China

Reprint 's Address:

  • [Li, Jianxi]Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China

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Source :

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS

ISSN: 1452-8630

Year: 2009

Issue: 1

Volume: 3

Page: 147-156

1 . 0 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

Cited Count:

WoS CC Cited Count: 38

SCOPUS Cited Count: 41

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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