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A complete solution to the existence problem for 1-rotational k-cycle systems of Kv

✍ Scribed by Shung-Liang Wu; Marco Buratti

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 133 KB
Volume: 17
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20217

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✦ Synopsis

Abstract

The necessary and sufficient conditions for the existence of a 1‐rotational k‐cycle system of the complete graph K~v~ are established. The proof provides an algorithm able to determine, directly and explicitly, an odd k‐cycle system of K~v~ whenever such a system exists. © 2009 Wiley Periodicals,
Inc. J Combin Designs 17: 283–293, 2009

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