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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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