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两类图的点可区别边染色数
引用本文:唐保祥,任韩.两类图的点可区别边染色数[J].山西大学学报(自然科学版),2012,35(1):24-26.
作者姓名:唐保祥  任韩
作者单位:1. 天水师范学院数学与统计学院,甘肃天水,741001
2. 华东师范大学数学系,上海,200062
基金项目:国家自然科学基金(11171114);上海市自然科学基金(07XD14011);上海市重点学科建设基金(B407)
摘    要:证明了,任意正整数k≥2,存在点可区别边色数为2k+1的k+1-正则图;任意正整数m≥4,存在点可区别边色数为m的偶图.

关 键 词:正则图  偶图  点可区别边染色  点可区别边色数

Vertex-distinguishing Edge Chromatic Number of Two Kinds of Graphs
TANG Bao-xiang , REN Han.Vertex-distinguishing Edge Chromatic Number of Two Kinds of Graphs[J].Journal of Shanxi University (Natural Science Edition),2012,35(1):24-26.
Authors:TANG Bao-xiang  REN Han
Institution:1.School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China; 2.Department of Mathematics,East China Normal University,Shanghai 200062,China)
Abstract:It was proved that for any integer k≥2,there was a k+1-regular graph with vertex-distinguishing edge chromatic number 2k+1,and for any integer m≥4,there was a bipartite graph with vertex-distinguishing edge chromatic number m.
Keywords:regular graph  bipartite graph  vertex-distinguishing edge coloring  vertex-distinguish-ing edge chromatic number
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