On the distance and distance signless Laplacian spectral radii of bicyclic graphs

被引:61
作者
Xing, Rundan [1 ]
Zhou, Bo [1 ]
机构
[1] S China Normal Univ, Dept Math, Guangzhou 510631, Guangdong, Peoples R China
基金
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词
Distance spectral radius; Distance signless Laplacian spectral radius; Distance matrix; Distance signless Laplacian matrix; Transmission; Bicyclic graph; MATRIX; TREES;
D O I
10.1016/j.laa.2013.10.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The unique graphs with minimum and second-minimum distance (distance signless Laplacian, respectively) spectral radii are determined among bicyclic graphs with fixed number of vertices. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:3955 / 3963
页数:9
相关论文
共 19 条
[1]  
[Anonymous], 1997, Eigenspaces of graphs
[2]   Two Laplacians for the distance matrix of a graph [J].
Aouchiche, Mustapha ;
Hansen, Pierre .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (01) :21-33
[3]   TOPOLOGICAL INDEXES AND REAL NUMBER VERTEX INVARIANTS BASED ON GRAPH EIGENVALUES OR EIGENVECTORS [J].
BALABAN, AT ;
CIUBOTARIU, D ;
MEDELEANU, M .
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1991, 31 (04) :517-523
[4]   On the maximal distance spectral radius of graphs without a pendent vertex [J].
Bose, Surya Sekhar ;
Nath, Milan ;
Paul, Somnath .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (11) :4260-4278
[5]   Sharp bounds on the spectral radius of a nonnegative matrix [J].
Duan, Xing ;
Zhou, Bo .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (10) :2961-2970
[6]   DISTANCE MATRIX POLYNOMIALS OF TREES [J].
GRAHAM, RL ;
LOVASZ, L .
ADVANCES IN MATHEMATICS, 1978, 29 (01) :60-88
[7]   Distance spectral radius of trees with given matching number [J].
Ilic, Aleksandar .
DISCRETE APPLIED MATHEMATICS, 2010, 158 (16) :1799-1806
[8]   THE DISTANCE SPECTRUM OF A TREE [J].
MERRIS, R .
JOURNAL OF GRAPH THEORY, 1990, 14 (03) :365-369
[9]  
Minc, 1988, NONNEGATIVE MATRICES
[10]   On the distance spectral radius of trees [J].
Nath, Milan ;
Paul, Somnath .
LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (07) :847-855