2007Combinatorics Probability ComputingOpen access

Regular Partitions of Hypergraphs: Regularity Lemmas

Vojtěch Rödl, Mathias Schacht

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Abstract

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.

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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.

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OpenAlex reports 117 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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.

Key concepts: Lemma (botany), Mathematics, Combinatorics, Hypergraph, Discrete mathematics, Computer science, Ecology, Poaceae

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