A tight lower bound for Szemerédi’s regularity lemma

Combinatorica volume 37, pages911–951(2017)Cite this article

Abstract

We determine the order of the tower height for the partition size in a version of Szemerédi’s regularity lemma. This addresses a question of Gowers.

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Author information

Affiliations

  1. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    Jacob Fox

  2. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139-4307, USA

    László Miklós Lovász

Authors
  1. Jacob Fox
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  2. László Miklós Lovász
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Corresponding author

Correspondence to László Miklós Lovász.

Additional information

Research supported by a Packard Fellowship, by a Simons Fellowship, by NSF grant DMS-1069197, by an Alfred P. Sloan Fellowship, and by an MIT NEC Corporation Award.

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Fox, J., Lovász, L.M. A tight lower bound for Szemerédi’s regularity lemma. Combinatorica 37, 911–951 (2017). https://doi.org/10.1007/s00493-016-3274-4

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Mathematics Subject Classification (2000)

  • 05C75