Cycle Decompositions of Kn and Kn−I

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c ○ 2006 Society for Industrial and Applied Mathematics CYCLE DECOMPOSITIONS OF Kn,n − I ∗

Let Kn,n denote the complete bipartite graph with n vertices in each bipartition set and Kn,n − I denote Kn,n with a 1-factor removed. An m-cycle system of Kn,n − I is a collection T of m-cycles such that each edge of Kn,n − I is contained in a unique m-cycle of T . In this paper, it is proved that the necessary and sufficient conditions for the existence of an m-cycle system of Kn,n − I are n ...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 2001

ISSN: 0095-8956

DOI: 10.1006/jctb.2000.1996