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Decomposing complete equipartite graphs into short even cycles

✍ Scribed by Benjamin R. Smith; Nicholas J. Cavenagh


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
145 KB
Volume
19
Category
Article
ISSN
1063-8539

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✦ Synopsis


In this article we find necessary and sufficient conditions to decompose a complete equipartite graph into cycles of uniform length, in the case that the length is both even and short relative to the number of parts.


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## Abstract We determine the necessary and sufficient conditions for the existence of a decomposition of the complete graph of even order with a 1‐factor added into cycles of equal length. Β© 2003 Wiley Periodicals, Inc. J Combin Designs 11: 170–207, 2003; Published online in Wiley InterScience (www