Regular slices for hypergraphs

Allen, Peter

; Cooley, Oliver; and Mycroft, Richard (2015) Regular slices for hypergraphs. Electronic Notes in Discrete Mathematics, 49. pp. 691-698. ISSN 1571-0653

Copy

We present a ‘Regular Slice Lemma’ which, given a k -graph GG, returns a regular (k−1)(k−1)-complex JJ with respect to which GG has useful regularity properties. We believe that many arguments in extremal hypergraph theory are made considerably simpler by using this lemma rather than existing forms of the Strong Hypergraph Regularity Lemma, and advocate its use for this reason.

Item Type	Article
Keywords	hypergraphs,regularity lemma
Departments	Mathematics
DOI	10.1016/j.endm.2015.06.093
Date Deposited	09 Dec 2015 11:15
URI	https://researchonline.lse.ac.uk/id/eprint/64636