Regular slices for hypergraphs

Allen, Peter ORCID: 0000-0001-6555-3501, Böttcher, Julia ORCID: 0000-0002-4104-3635, Cooley, Oliver and Mycroft, Richard (2015) Regular slices for hypergraphs. Electronic Notes in Discrete Mathematics, 49. pp. 691-698. ISSN 1571-0653

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Abstract

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
Official URL:	http://www.journals.elsevier.com/electronic-notes-...
Additional Information:	© 2015 Elsevier B.V.
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	09 Dec 2015 11:15
Last Modified:	07 Jan 2024 06:57
URI:	http://eprints.lse.ac.uk/id/eprint/64636

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