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图K_3~cVK_t的点可区别正常边染色

On the vertex-distinguishing proper edge-coloring of K_3~c∨K_t
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摘要 图G的正常边染色称为是点可区别的,如果对G的任意两顶点的关联边的颜色构成的集合不同.对图G进行点可区别正常边染色所需要的最少颜色数称为图G的点可区别正常边色数,记为x_s'(G).给出了3阶空图与t阶完全图的联图的点可区别正常边色数. A k-proper edge coloring of a simple graph G is called vertex-distinguishing if for arbitrary two different vertices u and v , the set of colors assigned to the edges incident to u differs from the set of colors assigned to the edges incident to v. The minimum number of colors required for a vertex-distinguishing proper edge-coloring of a simple graph G is called vertex-distinguishing proper edge chromatic number of G and denoted by X's(G). The vertex-distinguishing proper edge chromatic numbers of K3cVKt are obtained in this paper.
作者 王国兴
出处 《数学的实践与认识》 CSCD 北大核心 2014年第21期312-315,共4页 Mathematics in Practice and Theory
基金 国家自然科学基金资助项目(61163037 61163054) 兰州商学院2013年度教学研究一般项目(20130210)
关键词 联图 点可区别正常边染色 点可区别正常边色数 join graph vertex-distinguishing proper edge coloring vertex-distinguishing proper edge chromatic number
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参考文献8

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