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Regular Partitions of Hypergraphs: Regularity Lemmas

Regular Partitions of Hypergraphs: Regularity Lemmas

Szemerédi's regularity lemma for graphs has proved to be a powerful tool with many subsequent applications. The objective of this paper is to extend the techniques developed by Nagle, Skokan, and the authors and obtain a stronger and more ‘user-friendly’ regularity lemma for hypergraphs.