The atom-bond connectivity index of chemical bicyclic graphs

被引：19
|
作者：
Chen Jin-song [1 ,2 ]
Guo Xiao-feng [3 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
[2] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Peoples R China
[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2012年 / 27卷 / 02期
基金：
中国国家自然科学基金;
关键词：
atom-bond connectivity index; chemical bicyclic graph; bound; ENERGY;
D O I：
10.1007/s11766-012-2756-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The atom-bond connectivity (ABC) index provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes, which is defined as , where d (u) denotes the degree of a vertex u in G. A chemical graph is a graph in which no vertex has degree greater than 4. In this paper, we obtain the sharp upper and lower bounds on ABC index of chemical bicyclic graphs.
引用
收藏
页码：243 / 252
页数：10
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