On the Directed Oberwolfach Problem with Equal Cycle Lengths

  • Andrea Burgess
  • Mateja Ĺ ajna
Keywords: Directed Oberwolfach Problem, complete symmetric digraph, resolvable directed cycle decomposition, Mendelsohn design

Abstract

We examine the necessary and sufficient conditions for a complete symmetric digraph $K_n^\ast$ to admit a resolvable decomposition into directed cycles of length $m$. We give a complete solution for even $m$, and a partial solution for odd $m$.
Published
2014-01-24
Article Number
P1.15