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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.
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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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