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Cycle decompositions of complete multigraphs

✍ Scribed by Benjamin R. Smith

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 106 KB
Volume: 18
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20229

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✦ Synopsis

Abstract

In this paper we establish necessary and sufficient conditions for decomposing the complete multigraph λ__K__~n~ into cycles of length λ, and the λ‐fold complete symmetric digraph λ__K__ into directed cycles of length λ. As a corollary to these results we obtain necessary and sufficient conditions for decomposing λ__K__~n~ (respectively, λ__K__) into cycles (respectively, directed cycles) of prime length. © 2009 Wiley Periodicals, Inc. J Combin Designs 18: 85–93, 2010

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