Delta+300 is a bound on the adjacent vertex distinguishing edge chromatic number

Delta+300 is a bound on the adjacent vertex distinguishing edge chromatic number
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DOI:
10.1016/j.jctb.2005.04.002
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发表时间:
2005-11
期刊:
J. Comb. Theory B
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简单图G的邻点可区别边染色或avd染色是G的正常边染色,使得没有一对邻点满足相同的颜色集。我们证明了每个最大度为Δ且无孤立边的图都有最多为Δ+300色的avd染色,只要Δ>1020.
An adjacent vertex distinguishing edge-coloring or an avd-coloring of a simple graph G is a proper edge-coloring of G such that no pair of adjacent vertices meets the same set of colors. We prove that every graph with maximum degree Δ and with no isolated edges has an avd-coloring with at most Δ+300 colors, provided that Δ>1020.