Glauber dynamics for k-colorings mixes optimally in O(n log n) time for k ≥ (1+δ)Δ on high-girth graphs with large Δ.
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Sampling Colorings Close to the Maximum Degree: Non-Markovian Coupling and Local Uniformity
Glauber dynamics for k-colorings mixes optimally in O(n log n) time for k ≥ (1+δ)Δ on high-girth graphs with large Δ.