Hosoya Indices of Bicyclic Graphs

被引:0
作者
Li, Shuchao [2 ]
Li, Xuechao [3 ]
Zhu, Zhongxun [1 ]
机构
[1] S Cent Univ Nationalities, Dept Comp Sci, Wuhan 430074, Peoples R China
[2] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China
[3] Univ Georgia, Div Acad Enhancement, Athens, GA 30602 USA
关键词
hosoya index; bicyclic graphs; pendent vertex; TOPOLOGICAL INDEX;
D O I
暂无
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Given a molecular graph G, the Hosoya index Z(G) of G is defined as the total number of the matchings of the graph. Let B-n denote the set of bicyclic graphs on n vertices. In this paper, the minimal, the second-, the third-, the fourth-, and the fifth-minimal Hosoya indices of bicyclic graphs in the set B-n are characterized.
引用
收藏
页码:641 / 647
页数:7
相关论文
共 20 条
[1]  
Bondy J. A., 1976, Graduate Texts in Mathematics, V290
[2]   Algebraic connections between topological indices [J].
Chan, O ;
Gutman, I ;
Lam, TK ;
Merris, R .
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1998, 38 (01) :62-65
[3]   Coulson function and Hosoya index [J].
Gutman, I ;
Vidovic, D ;
Furtula, B .
CHEMICAL PHYSICS LETTERS, 2002, 355 (3-4) :378-382
[4]   EXTREMAL HEXAGONAL CHAINS [J].
GUTMAN, I .
JOURNAL OF MATHEMATICAL CHEMISTRY, 1993, 12 (1-4) :197-210
[5]  
Gutman I., 2012, MATH CONCEPTS ORGANI
[6]  
Gutman I., 1988, MATCH Commun. Math. Comput. Chem., V23, P95
[8]  
Hosoya H, 2007, CROAT CHEM ACTA, V80, P239
[9]   Important mathematical structures of the topological index Z for tree graphs [J].
Hosoya, Haruo .
JOURNAL OF CHEMICAL INFORMATION AND MODELING, 2007, 47 (03) :744-750
[10]   On acyclic systems with minimal Hosoya index [J].
Hou, YP .
DISCRETE APPLIED MATHEMATICS, 2002, 119 (03) :251-257