In this paper, we study the existence problem for cyclic ℓ-cycle decompositions of the graph Km[n], the complete multipartite graph with m parts of size n, and give necessary and sufficient conditions for their existence in the case that 2ℓ|(m − 1)n.
Cyclic cycle systems of the complete multipartite graph
Burgess A.;Merola F.
;Traetta T.
2020-01-01
Abstract
In this paper, we study the existence problem for cyclic ℓ-cycle decompositions of the graph Km[n], the complete multipartite graph with m parts of size n, and give necessary and sufficient conditions for their existence in the case that 2ℓ|(m − 1)n.File in questo prodotto:
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