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 $n\equiv 0(\mathrm{mod}2m)$ and odd $m$, $5\le m\le 49$.