English

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

Combinatorics 2017-06-22 v1

Abstract

We show that the complete symmetric digraph K2mK_{2m}^\ast admits a resolvable decomposition into directed cycles of length mm for all odd mm, 5m495 \le m \le 49. Consequently, KnK_{n}^\ast admits a resolvable decomposition into directed cycles of length mm for all n0(mod2m)n \equiv 0 \pmod{2m} and odd mm, 5m495 \le m \le 49.

Cite

@article{arxiv.1706.06625,
  title  = {On the directed Oberwolfach Problem with equal cycle lengths: the odd case},
  author = {Andrea Burgess and Nevena Francetic and Mateja Sajna},
  journal= {arXiv preprint arXiv:1706.06625},
  year   = {2017}
}
R2 v1 2026-06-22T20:24:27.811Z