MORE ON THE LAPLACIAN ESTRADA INDEX

被引:41
作者
Zhou, Bo [1 ]
Gutman, Ivan [2 ]
机构
[1] S China Normal Univ, Dept Math, Guangzhou 510631, Guangdong, Peoples R China
[2] Univ Kragujevac, Fac Sci, Kragujevac 34000, Serbia
关键词
Spectrum (of graph); Laplacian spectrum (of graph); Estrada index; Laplacian Estrada index; FOLDING DEGREE; EIGENVALUES; POWERS; SUM;
D O I
10.2298/AADM0902371Z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let G be a graph with n vertices and let mu(1), mu(2), ... , mu(n) be its Laplacian eigenvalues. In some recent works a quantity called Laplacian Estrada index was considered, defined as LEE(G) = (n)Sigma(i=1) e(mu i). We now establish some further properties of LEE, mainly upper and lower bounds interms of the number of vertices, number of edges, and the first Zagreb index.
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页码:371 / 378
页数:8
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