Polynomial Removal Lemma for Ordered Matchings

  • Lior Gishboliner
  • Borna Šimić

Abstract

We prove that for every ordered matching $H$ on $t$ vertices, if an ordered $n$-vertex graph $G$ is $\varepsilon$-far from being $H$-free, then $G$ contains $\text{poly}(\varepsilon) n^t$ copies of $H$. This proves a special case of a conjecture of Tomon and the first author. We also generalize this statement to uniform hypergraphs.

Published
2024-11-01
Article Number
P4.33