On the existence of elementary Abelian cycle systems
type: Item
instance of: scholarly article
title: On the existence of elementary Abelian cycle systems
zbMATH Open document ID: 1200.05046
author: Anita Pasotti
author: Anna Miriam Benini
published in: Graphs and Combinatorics
publication date: 2009-12-09T00:00:00Z
full work available at URL: http://hdl.handle.net/11379/19007
review text: Cycle systems \((K_v,C_k)\) which are \(G\)-regular under elementary abelian group \(G\) are considered. Necessary and/or sufficient existence conditions are obtained. In particular, constructions of some classes of perfect elementary abelian cycle systems are proposed. The more general problem in complete multipartite graphs is discussed and certain propositions are shown to follow from the case of \((K_v,C_k)\).
Mathematics Subject Classification ID: 05B30
zbMATH DE Number: 5644629
zbMATH Keywords: graph design
zbMATH Keywords: cycle systems
zbMATH Keywords: partial \(i\)-differences
reviewed by: Peter Boyvalenkov
MaRDI profile type: Publication
OpenAlex ID: W1974726050
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DOI: 10.1007/S00373-008-0826-4
description: scientific article; zbMATH DE number 5644629