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2n-正则简单图的边连通度
引用本文:盛集明.2n-正则简单图的边连通度[J].数学的实践与认识,2010,40(1).
作者姓名:盛集明
作者单位:荆楚理工学院,数理学院,荆门,448000
基金项目:湖北省教育厅重点科研项目(D20083501); 荆楚理工学院科学研究项目(ZR200603)
摘    要:图的各种连通度概念被先后用来研究网络可靠性问题.对于0到2n之间的任意一个偶数2m,构造了一个2n-正则简单图,使得其边连通度的值为2m.从而得到:2n-正则简单图的边连通度能够取{0,2,4,…,2n}中的任何一个偶数.

关 键 词:边连通度  正则图

The Edge-Connectivity of 2n-Regular Simple Graph
SHENG Ji-ming.The Edge-Connectivity of 2n-Regular Simple Graph[J].Mathematics in Practice and Theory,2010,40(1).
Authors:SHENG Ji-ming
Institution:SHENG Ji-ming(Mathematics Department,Jingchu Institute of Technology,Jingmen 448000,China)
Abstract:All kind of conceptions on connectivity of graph have been used to study the reliability problem of networks.Let 2m be an even number in .We construct a 2n-regular simple graph such that the value of it′s edge-connectivity is 2m.It shows that the edge-connectivity of 2n-regular simple graph can be any even number of {0,2,4,…,2n}.
Keywords:edge-connectivity  regular graph  
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