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Graphons arising from graphs definable over finite fields

Volume 169 / 2022

Mirna Džamonja, Ivan Tomašić Colloquium Mathematicum 169 (2022), 269-305 MSC: Primary 03C60, 11G25; Secondary 14G10, 14G15. DOI: 10.4064/cm8395-1-2022 Published online: 9 March 2022

Abstract

We prove a version of Tao’s algebraic regularity lemma for asymptotic classes in the context of graphons. We apply it to study expander difference polynomials over fields with powers of Frobenius.

Authors

  • Mirna DžamonjaIRIF (CNRS-Université de Paris)
    Bâtiment Sophie Germain, Case courrier 7014
    8 Place Aurélie Nemours
    75205 Paris Cedex 13, France
    e-mail
  • Ivan TomašićSchool of Mathematical Sciences
    Queen Mary University of London
    London, E1 4NS, United Kingdom
    e-mail

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