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图的邻点可区别星边色数的一个上界 被引量:1

An upper bound for the adjacent vertex-distinguishing star chromatic number of graphs
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摘要 提出了图的邻点可区别星边染色及邻点可区别星边色数χ'ass(G)的概念,并用Lovász局部引理证明了若G=(V,E)是一个最小度为δ(G)≥3的简单无向图,则χ'ass(G)≤「32Δ32?。 The definitions of the adjacent vertex-distinguishing star edge coloring and the adjacent vertex-distinguishing star chromatic number χ′ass(G) of a graph G are introduced,and it is proved that χ′ass(G)≤[32Δ3/2] whenever G is a graph with δ(G)≥3.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2012年第2期52-55,共4页 Journal of Shandong University(Natural Science)
基金 甘肃省教育厅基金资助项目(0501-03)
关键词 邻点可区别星边染色 邻点可区别星边色数 概率方法 Lovász局部引理 adjacent vertex-distinguishing star edge coloring adjacent vertex-distinguishing star chromatic number probabilistic method the Lovász local lemma
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  • 1ZHANG Zhongfu, CHEN Xiang’en, LI Jingwen, YAO Bing, LU Xinzhong & WANG Jianfang College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China,Department of Computer, Lanzhou Normal College, Lanzhou 730070, China,Institute of Applied Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China,College of Information and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China,Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China.On adjacent-vertex-distinguishing total coloring of graphs[J].Science China Mathematics,2005,48(3):289-299. 被引量:179
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