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Let J be a set of positive integers. Suppose m>1 and H is a complete m-partite graph with vertex set V and m groups G1,G2,…,Gm. Let |V|=v and G={G1,G2,…,Gm}. If the edges of λH can be partitioned into a set C of cycles with lengths from J, then (V,G,C) is called a cycle group divisible design with index λ and order v, denoted by (J,λ)-CGDD. A (J,λ)-cycle frame is a (J,λ)-CGDD (V,G,C) in which C...
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