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Regularity Lemmas for Graphs

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Fete of Combinatorics and Computer Science

Part of the book series: Bolyai Society Mathematical Studies ((BSMS,volume 20))

Abstract

Szemerédi’s regularity lemma proved to be a fundamental result in modern graph theory. It had a number of important applications and is a widely used tool in extremal combinatorics. For some further applications variants of the regularity lemma were considered. Here we discuss several of those variants and their relation to each other.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA

    Vojtěch Rödl

  2. Institut für Informatik, Humboldt- Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany

    Mathias Schacht

Authors
  1. Vojtěch Rödl
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  2. Mathias Schacht
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Editor information

Editors and Affiliations

  1. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15, Budapest, 1053, Hungary

    Gyula O. H. Katona

  2. Centre for Mathematics and Computer Science, Science Park 123, 1098 XG, Amsterdam, The Netherlands

    Alexander Schrijver

  3. Department of Computer Science, Eötvös University, Pázmány Péter sétány 1/C, Budapest, 1117, Hungary

    Tamás Szőnyi

  4. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Reáltanoda u. 13-15, Budapest, 1053, Hungary

    Gábor Sági

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Rödl, V., Schacht, M. (2010). Regularity Lemmas for Graphs. In: Katona, G.O.H., Schrijver, A., Szőnyi, T., Sági, G. (eds) Fete of Combinatorics and Computer Science. Bolyai Society Mathematical Studies, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13580-4_11

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