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具有第三大边平均Wiener指标的单圈图
引用本文:苏晓海,杨立夫.具有第三大边平均Wiener指标的单圈图[J].陕西理工学院学报(自然科学版),2014(2):62-65.
作者姓名:苏晓海  杨立夫
作者单位:陕西理工学院数学与计算机科学学院,陕西汉中723000
摘    要:一个图G的边平均Wiener指标定义为W'e(G)=Σ{f,g}E(G)D'(f,g),其中D'(f,g)是两条边f和g的平均距离。研究了单圈图的边平均Wiener指标,刻画了顶点数n>10的单圈图中具有第三大边平均Wiener指标的图的特征。

关 键 词:边平均Wiener指标  单圈图  圈数

The third largest edge average Wiener index of unicyclic graphs
SU Xiao-hai,YANG Li-fu.The third largest edge average Wiener index of unicyclic graphs[J].Journal of Shananxi University of Technology:Natural Science Edition,2014(2):62-65.
Authors:SU Xiao-hai  YANG Li-fu
Institution:SU Xiao-hai, YANG Li-fu
Abstract:The edge average Wiener index of a graph G is defined as W′e ( G) = ∑D′( f,g) ,{f,g}?E( G) where D′( f,g) is the average distance between two edges f and g .This paper studied that the edge average Wiener indices of unicyclic graphs , and characterized all the unicyclic graphs of order n >10 with the third largest edge average Wiener index .
Keywords:edge average Wiener index  unicyclic graph  cyclomatic number
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