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Cycle Frames of Complete Multipartite Multigraphs - III

โœ Scribed by Muthusamy, A.; Vadivu, A. Shanmuga

Book ID
121209364
Publisher
John Wiley and Sons
Year
2013
Tongue
English
Weight
216 KB
Volume
22
Category
Article
ISSN
1063-8539

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## Abstract In this paper we establish necessary and sufficient conditions for decomposing the complete multigraph ฮป__K__~__n__~ into cycles of length ฮป, and the ฮปโ€fold complete symmetric digraph ฮป__K__ into directed cycles of length ฮป. As a corollary to these results we obtain necessary and suffic

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It is shown that the obvious necessary conditions for the existence of a decomposition of the complete multigraph with n vertices and with k edges joining each pair of distinct vertices into m-cycles, or into m-cycles and a perfect matching, are also sufficient. This result follows as an easy conseq