The Second-minimum Gutman Index of The Unicyclic Graphs With Given Girth

被引：0
|
作者：
Hu, Yahui [1 ]
Hou, Yaoping [1 ]
Ouyang, Zhangdong [1 ]
机构：
[1] Hunan First Normal Univ, Dept Math, Changsha 410205, Hunan, Peoples R China
来源：
ARS COMBINATORIA | 2015年 / 118卷
关键词：
Gutman Index; Girth; Unicyclic Graph; MOLECULAR TOPOLOGICAL INDEX; MODIFIED SCHULTZ INDEX; WIENER INDEX; BICYCLIC GRAPHS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a simple connected graph with the vertex set V(G). The Gutman index Gut(G) of G is defined as Sigma ({x, y} subset of V(G)) d(G)(x) d(G)(y) d(G)(x, y), where d(G)(v) is the degree of the vertex v in G and do (x, y) the distance between the vertices x and y in G. In this paper, the second-minimum Gutman index of the unicyclic graphs on n vertices and girth m is characterized.
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页码：293 / 304
页数：12
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