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图的点可区别星边色数的一个上界

, PP. 120-126

Keywords: 点可区别边色数,点可区别星边色数,概率方法

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Abstract:

图\,$G$\,的点可区别星边边色数,记为\,$\chi'_{\rmvds}{(G)}$,是图\,$G$\,的点可区别星边染色所用色的最小数目.得到了一些特殊图的星边染色,并证明了若图\,$G$\,是一个最小度不小于\,5,且顶点数不超过\,$\Delta^7$\,的图时,$\chi'_{\rmvds}{(G)}\leqslant{14\Delta^{2}}$,其中\,$\Delta$\,是图\,$G$\,的最大度.

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