Moser-Tardos resampling algorithm, entropy compression method and the subset gas

01/03/2020

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by   Paula M. S. Fialho, et al.

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We establish a connection between the entropy compression method and the Moser-Tardos algorithmic version of the Lovász local lemma through the cluster expansion of the subset gas. We also show that the Moser-Tardos resampling algorithm and the entropy compression bactracking algorithm produce identical bounds.