Regular slices for hypergraphs

Allen, Peter, Böttcher, Julia, 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.
Library of Congress subject classification:	Q Science > QA Mathematics
Sets:	Departments > Mathematics
Date Deposited:	09 Dec 2015 11:15
URL:	http://eprints.lse.ac.uk/64636/

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