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arXiv · 2307.01652

Polynomial removal lemma for ordered matchings

Lior Gishboliner·Borna Šimić
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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.

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Lior Gishboliner, Borna Šimić. 2025-02-14. Polynomial removal lemma for ordered matchings. https://arxiv.org/abs/2307.01652

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