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arXiv · 1510.07139

$L_p$ regular sparse hypergraphs

Pandelis Dodos·Vassilis Kanellopoulos·Thodoris Karageorgos
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Abstract

We study sparse hypergraphs which satisfy a mild pseudorandomness condition known as $L_p$ regularity. We prove appropriate regularity and counting lemmas, and we extend the relative removal lemma of Tao in this setting. This answers a question of Borgs, Chayes, Cohn and Zhao.

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Pandelis Dodos, Vassilis Kanellopoulos, Thodoris Karageorgos. 2018-02-25. $L_p$ regular sparse hypergraphs. https://arxiv.org/abs/1510.07139

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