Randomly coloring graphs of bounded treewidth
نویسنده
چکیده
We consider the problem of sampling a proper k-coloring of a graph of maximal degree ∆ uniformly at random. We describe a new Markov chain for sampling colorings, and show that it mixes rapidly on graphs of bounded treewidth if k ≥ (1 + )∆, for any > 0.
منابع مشابه
Equitable Colorings of Bounded Treewidth Graphs
A proper coloring of a graph G is equitable if the sizes of any two color classes are differ by at most one. The related notion is `-bounded coloring where each of the color classes is of cardinality ≤ `. We consider the problems to determine for a given graph G (and a given integer `) whether G has an equitable (`-bounded) coloring. We prove that both problems can be solved in polynomial time ...
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عنوان ژورنال:
- CoRR
دوره abs/1708.02677 شماره
صفحات -
تاریخ انتشار 2017