Variable-Version Lovász Local Lemma: Beyond Shearer's Bound

Abstract

A tight criterion under which the abstract version Lovász Local Lemma (abstract-LLL) holds was given by Shearer [43] decades ago. However, little is known about that of the variable version LLL (variable-LLL) where events are generated by independent random variables, though this model of events is applicable to almost all applications of LLL. We introduce… (More)
DOI: 10.1109/FOCS.2017.48

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