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Both Cuckler and Yuster independently conjectured that when $$n$$ is an odd positive multiple of $$3$$ every regular tournament on $$n$$ vertices contains a collection of $n/3$$ vertex-disjoint copies of the cyclic triangle. Soon after, Keevash \& Sudakov proved that if $$G$$ is an orientation of a graph on $$n$$ vertices in which every vertex has both indegree and outdegree at least $(1/2 - o(1))n$, then there exists a collection of vertex-disjoint cyclic triangles that covers all but at most $$3$$ vertices. In this paper, we resolve the conjecture of Cuckler and Yuster for sufficiently large $$n$$.more » « less
