A directedm-cycle system of order v with index λ, denotedm-DCS(v, λ), is a collection of directed cycles of length m whose directed edges partition the directed edges of λDKv. An m-DCS(v, λ) is α-resolvable if its directed cycles can be partitioned into classes such that each point of the design occurs in precisely α cycles in each class. The necessary conditions for the existence of such a des...
