On the directed Oberwolfach Problem with equal cycle lengths: the odd case

Abstract

We show that the complete symmetric digraph $K_{2m}^\ast$ admits a resolvable decomposition into directed cycles of length $m$ for all odd $m$, $5 \le m \le 49$. Consequently, $K_{n}^\ast$ admits a resolvable decomposition into directed cycles of length $m$ for all $n \equiv 0 \pmod{2m}$ and odd $m$, $5 \le m \le 49$.