English

Regularity inheritance in hypergraphs

Combinatorics 2019-01-18 v1

Abstract

We give a new approach to handling hypergraph regularity. This approach allows for vertex-by-vertex embedding into regular partitions of hypergraphs, and generalises to regular partitions of sparse hypergraphs. We also prove a corresponding sparse hypergraph regularity lemma.

Keywords

Cite

@article{arxiv.1901.05955,
  title  = {Regularity inheritance in hypergraphs},
  author = {Peter Allen and Ewan Davies and Jozef Skokan},
  journal= {arXiv preprint arXiv:1901.05955},
  year   = {2019}
}

Comments

48 pages

R2 v1 2026-06-23T07:14:58.916Z