Maximum Estrada index of bicyclic graphs

被引:15
作者
Wang, Long [1 ]
Fan, Yi-Zheng [1 ]
Wang, Yi [1 ]
机构
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
基金
中国国家自然科学基金;
关键词
Bicyclic graphs; Estrada index; Eigenvalues; FOLDING DEGREE; TREES; PROTEINS;
D O I
10.1016/j.dam.2014.08.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let G be a simple graph of order n, let lambda(1)(G), lambda(2)(G),..., lambda(n)(G) be the eigenvalues of the adjacency matrix of G. The Estrada index of G is defined as EE(G) = Sigma(n)(i=1) e(lambda 1(G)). In this paper we determine the unique graph with maximum Estrada index among bicyclic graphs with fixed order. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:194 / 199
页数:6
相关论文
共 18 条
[1]  
[Anonymous], 2008, INT J CHEM MODELING
[2]  
CVETKOVI C D.M., 1980, Pure Appl. Math., V87
[3]   Estimating the Estrada index [J].
de la Pena, Jose Antonio ;
Gutman, Ivan ;
Rada, Juan .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 427 (01) :70-76
[4]  
Deng HY, 2009, MATCH-COMMUN MATH CO, V62, P599
[5]   The Estrada index of unicyclic graphs [J].
Du, Zhibin ;
Zhou, Bo .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) :3149-3159
[6]  
Du ZB, 2011, ELECTRON J LINEAR AL, V22, P586
[7]   The Estrada index of trees [J].
Du, Zhibin ;
Zhou, Bo .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (10) :2462-2467
[8]   On the Estrada and Laplacian Estrada indices of graphs [J].
Du, Zhibin ;
Liu, Zhongzhu .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (08) :2065-2076
[9]   Characterization of 3D molecular structure [J].
Estrada, E .
CHEMICAL PHYSICS LETTERS, 2000, 319 (5-6) :713-718
[10]   Spectral measures of bipartivity in complex networks -: art. no. 046105 [J].
Estrada, E ;
Rodríguez-Velázquez, JA .
PHYSICAL REVIEW E, 2005, 72 (04)