TY - JOUR
T1 - On the Laplacian Estrada index of a graph
AU - Li, Jianxi
AU - Shiu, Wai Chee
AU - Chang, An
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
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 - Journal 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 -