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