Asymptotically optimal frugal colouring
نویسندگان
چکیده
We prove that every graph with maximum degree ∆ can be properly (∆ + 1)-coloured so that no colour appears more than O(log∆/ log log∆) times in the neighbourhood of any vertex. This is best possible up to the constant factor in the O(−) term. We also provide an efficient algorithm to produce such a colouring.
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عنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 100 شماره
صفحات -
تاریخ انتشار 2009