文献类型：期刊文献

英文题名：The harmonic index on bicyclic graphs

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

年份：2013

卷号：110

起止页码：97

外文期刊名：ARS COMBINATORIA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000322091300011)】；

基金：This work is supported by the Fundamental Research Funds for the Central Universities and the National Natural Science Foundation of China (61070230).

语种：英文

外文关键词：Harmonic index; bicyclic graph; degree

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.