Paths and cycles in tournaments

Thomason, Andrew

doi:10.1090/S0002-9947-1986-0837805-6

Paths and cycles in tournaments
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Trans. Amer. Math. Soc. 296 (1986), 167-180 Request permission

Abstract:

Sufficient conditions are given for the existence of an oriented path with given end vertices in a tournament. As a consequence a conjecture of Rosenfeld is established. This states that if $n$ is large enough, then every non-strongly oriented cycle of order $n$ is contained in every tournament of order $n$.

References

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Embedding oriented

trees in tournaments

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