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arXiv · 2212.12072

Completing the solution of the directed Oberwolfach problem with cycles of equal length

Alice Lacaze-Masmonteil
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Abstract

In this paper, we give a solution to the last outstanding case of the directed Oberwolfach problem with tables of uniform length. Namely, we address the two-table case with tables of odd length. We prove that the complete symmetric digraph on $2m$ vertices, denoted $K^*_{2m}$, admits a resolvable decomposition into directed cycles of odd length $m$. This completely settles the directed Oberwolfach problem with tables of uniform length.

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Alice Lacaze-Masmonteil. 2023-09-07. Completing the solution of the directed Oberwolfach problem with cycles of equal length. https://arxiv.org/abs/2212.12072

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