Atom-bond connectivity index of graphs

被引：146
|
作者：
Das, Kinkar Ch. [1 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
来源：
DISCRETE APPLIED MATHEMATICS | 2010年 / 158卷 / 11期
关键词：
Molecular graph; Atom-bond connectivity (ABC) index; Modified second Zagreb index;
D O I：
10.1016/j.dam.2010.03.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The recently introduced atom-bond connectivity (ABC) index has been applied up until now to study the stability of alkanes and the strain energy of cycloalkanes. Furtula et al. (2009) [3] obtained extremal ABC values for chemical trees, and also, it has been shown that the star K-1,K-n-1, has the maximal ABC value of trees. In this paper, we present the lower and upper bounds on ABC index of graphs and trees, and characterize graphs for which these bounds are best possible. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1181 / 1188
页数：8
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