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

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2009年 / 3卷 / 02期

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.

引用

页码：371 / 378

页数：8

共 50 条

[11] A note on the Laplacian Estrada index of trees
Deng, Hanyuan
Zhang, Jie
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2010, 63 (03) : 777 - 782
[12] Note on the Laplacian Estrada Index of a Graph
Li, Jianxi
Shiu, Wai Chee
Chan, Wai Hong
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2011, 66 (03) : 777 - 784
[13] On the Laplacian Estrada Index of Unicyclic Graphs
Li, Jianping
Zhang, Jianbin
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2012, 68 (03) : 835 - 842
[14] On the signless Laplacian Estrada index of cacti
Wang, Kun
Pan, Xiangfeng
Ning, Wenjie
DISCRETE APPLIED MATHEMATICS, 2019, 254 : 189 - 195
[15] The Normalized Laplacian Estrada Index of a Graph
Li, Jianxi
Guo, Ji-Ming
Shiu, Wai Chee
FILOMAT, 2014, 28 (02) : 365 - 371
[16] ON SUM OF POWERS OF LAPLACIAN EIGENVALUES AND LAPLACIAN ESTRADA INDEX OF GRAPHS
Zhou, Bo
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2009, 62 (03) : 611 - 619
[17] The Laplacian energy and Laplacian Estrada index of random multipartite graphs
Hu, Dan
Li, Xueliang
Liu, Xiaogang
Zhang, Shenggui
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 443 (02) : 675 - 687
[18] Laplacian spectral moment and Laplacian Estrada index of random graphs
Gao, Nan
Hu, Dan
Liu, Xiaogang
Zhang, Shenggui
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (02) : 1299 - 1307
[19] On the signless Laplacian Estrada index of bicyclic graphs
Wang, Kun
Ning, Wenjie
Lu, Mei
DISCRETE APPLIED MATHEMATICS, 2018, 235 : 169 - 174
[20] The maximum Laplacian Estrada index of connected graphs
Zhang, Haixia
Zhang, Ning
Zhang, Zhuolin
LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (02): : 178 - 189

← 1 2 3 4 5 →