The hyper-Wiener index of unicyclic graphs with n vertices and k pendent vertices

被引:2
作者
Cai, Gai-Xiang [1 ]
Yu, Gui-Dong [1 ]
机构
[1] Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
关键词
Hyper-Wiener index; Unicyclic graph; Pendent vertex;
D O I
10.1080/09720529.2015.1085731
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The hyper-Wiener index WW(G) is defined as WW(G) = 1/2 Sigma(u,u is an element of V(G)) (d(G)(u, v) + d(G)(2)(u, v)) with the summation going over all pairs of vertices in G. In this paper, we determine graphs with the minimum hyper-Wiener index among all the unicyclic graphs with n vertices and k pendent vertices.
引用
收藏
页码:57 / 65
页数:9
相关论文
共 17 条
[1]   The Wiener index of the kth power of a graph [J].
An, Xinhui ;
Wu, Baoyindureng .
APPLIED MATHEMATICS LETTERS, 2008, 21 (05) :436-440
[2]   Wiener index of graphs with more than one cut-vertex [J].
Balakrishnan, R. ;
Sridharan, N. ;
Iyer, K. Viswanathan .
APPLIED MATHEMATICS LETTERS, 2008, 21 (09) :922-927
[3]  
Feng LH, 2011, UTILITAS MATHEMATICA, V84, P97
[4]  
Feng LH, 2010, UTILITAS MATHEMATICA, V82, P215
[5]   Zagreb, Harary and hyper-Wiener indices of graphs with a given matching number [J].
Feng, Lihua ;
Ilic, Aleksandar .
APPLIED MATHEMATICS LETTERS, 2010, 23 (08) :943-948
[6]   Relation between hyper-Wiener and Wiener index [J].
Gutman, I .
CHEMICAL PHYSICS LETTERS, 2002, 364 (3-4) :352-356
[8]   ON THE DEFINITION OF THE HYPER-WIENER INDEX FOR CYCLE-CONTAINING STRUCTURES [J].
KLEIN, DJ ;
LUKOVITS, I ;
GUTMAN, I .
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1995, 35 (01) :50-52
[9]  
Liu HQ, 2008, MATCH-COMMUN MATH CO, V60, P85
[10]  
Liu MH, 2010, MATCH-COMMUN MATH CO, V63, P151