On the directed Oberwolfach problem for complete symmetric equipartite digraphs and uniform‐length cycles

Abstract

We examine the necessary and sufficient conditions for a complete symmetric equipartite digraph with parts of size to admit a resolvable decomposition into directed cycles of length . We show that the obvious necessary conditions are sufficient for in each of the following four cases: (i) is even; (ii) ; (iii) and or ; and (iv) , and if , then for a prime .