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单圈图的离心连通度指标
引用本文:郭利涛,徐兰,郭晓峰. 单圈图的离心连通度指标[J]. 数学研究, 2010, 43(4): 322-327
作者姓名:郭利涛  徐兰  郭晓峰
作者单位:厦门大学数学科学学院;昌吉学院;
基金项目:supported by NSFC(No 10831001); Natural Science Foundation of Fujian Province(2010J05005).
摘    要:
设G=(V,E)是连通图.G的离心连通度指标定义为(?)~c(G)=∑_(x∈V)ec(x)deg(x),其中ec(x)是x的离心率,deg(x)是x的度.我们得到了直径为d的单圈图的上下界

关 键 词:离心率  离心连通度指标

Note on the Eccentric Connectivity Index of Unicyclic Graphs
Guo Litao,Xu Lan,Guo Xiaofeng. Note on the Eccentric Connectivity Index of Unicyclic Graphs[J]. Journal of Mathematical Study, 2010, 43(4): 322-327
Authors:Guo Litao  Xu Lan  Guo Xiaofeng
Affiliation:Guo Litao~1 Xu Lan~2 Guo Xiaofeng~1 (1.School of Mathematical Sciences Xiamen University,Xiamen Fujian 361005,2.Department of Mathematics Changji College,Changji Xinjiang 831102)
Abstract:
Let G = (V, E) be a connected graph. The eccentric connectivity index of G is defined as ξc(G) = ∑x∈V ec(x)deg(x) , where ec(x) is the eccentricity of X, deg(x) is the degree of x. We obtain the lower and upper bounds of unicyclic graphs with diameter, d.
Keywords:Eccentric connectivity index  Eccentricity
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