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arXiv · 1509.04638

A local lemma via entropy compression

Rogério G. Alves·Aldo Procacci·Remy Sanchis
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Abstract

In the framework of the probabilistic method in combinatorics, we revisit the entropy compression method clarifying the setting in which it can be applied and providing a theorem yielding a general constructive criterion. We finally elucidate, through topical examples, the effectiveness of the entropy-compression criterion in comparison with the Lovasz Local Lemma criterion and, in particular, with the improved criterion based on cluster expansion.

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Rogério G. Alves, Aldo Procacci, Remy Sanchis. 2019-12-11. A local lemma via entropy compression. https://arxiv.org/abs/1509.04638

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