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Uniform Sampling of Proper Graph Colorings via Soft Coloring and Partial Rejection Sampling
We present a new algorithm for the exact uniform sampling of proper \(k\)-colorings of a graph on \(n\) vertices with maximum degree~\(Δ\). The algorithm is based on partial rejection sampling (PRS) and introduces a soft relaxation of the proper coloring constraint that is progressively tightened un
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