English

$L_p$ regular sparse hypergraphs

Combinatorics 2018-02-27 v4 Functional Analysis Probability

Abstract

We study sparse hypergraphs which satisfy a mild pseudorandomness condition known as LpL_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.

Keywords

Cite

@article{arxiv.1510.07139,
  title  = {$L_p$ regular sparse hypergraphs},
  author = {Pandelis Dodos and Vassilis Kanellopoulos and Thodoris Karageorgos},
  journal= {arXiv preprint arXiv:1510.07139},
  year   = {2018}
}
R2 v1 2026-06-22T11:28:03.738Z