The harmonic index on bicyclic graphs

被引：0

作者：

Zhu, Yan ^{[1
]}

Chang, Renying ^{[2
]}

Wei, Xiang ^{[3
]}

机构：

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[2] Linyi Univ, Dept Math, Linyi 276005, Shandong, Peoples R China

[3] Univ Honghe, Dept Enginerring, Honghe 661100, Yunnan, Peoples R China

来源：

ARS COMBINATORIA | 2013年 / 110卷

基金：

中国国家自然科学基金;

关键词：

Harmonic index; bicyclic graph; degree;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The harmonic index H(G) of a graph G is defined as the sum of weights 2/d(u)+d(v) of all edges uv of G, where d(u) denotes the degree of a vertex u in G. In this paper, we give sharp lower and upper bounds for harmonic index of bicyclic graphs and characterize the corresponding extremal graphs.

引用

页码：97 / 104

页数：8

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[No title captured]

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