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- W3034989894 abstract "We present a randomized algorithm that takes as input an undirected n-vertex graph G with maximum degree Δ and an integer k > 3Δ, and returns a random proper k-coloring of G. The distribution of the coloring is perfectly uniform over the set of all proper k-colorings; the expected running time of the algorithm is poly(k,n)=O(nΔ2· log(k)). This improves upon a result of Huber (STOC 1998) who obtained a polynomial time perfect sampling algorithm for k>Δ2+2Δ. Prior to our work, no algorithm with expected running time poly(k,n) was known to guarantee perfectly sampling with sub-quadratic number of colors in general." @default.
- W3034989894 created "2020-06-19" @default.
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- W3034989894 date "2020-06-22" @default.
- W3034989894 modified "2023-09-25" @default.
- W3034989894 title "Improved bounds for perfect sampling of k-colorings in graphs" @default.
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- W3034989894 doi "https://doi.org/10.1145/3357713.3384244" @default.
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