Augmented Zagreb Index of Connected Graphs

被引：0
|
作者：
Huang, Yufei [1 ]
Liu, Bolian [1 ]
Gan, Lu [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2012年 / 67卷 / 02期
关键词：
ATOM-BOND CONNECTIVITY; ALKANES;
D O I：
暂无
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
The augmented Zagreb index of a graph G is defined to be AZI(G) = Sigma(uv is an element of E(G)) (d(u) d(v)/d(u) + d(v) - 2)(3), where E(G) is the edge set of G, d(u) and d(v) are the degrees of the terminal vertices and v of edge ay. Such recently introduced topological index has proven to be a valuable predictive index in the study of the heat of formation of octanes and heptanes. In this paper, we present upper and lower bounds on the augmented Zagreb index for various classes of connected graphs, and characterize the corresponding extremal graphs.
引用
收藏
页码：483 / 494
页数：12
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