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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Paths and cycles in tournaments


Author: Andrew Thomason
Journal: Trans. Amer. Math. Soc. 296 (1986), 167-180
MSC: Primary 05C20; Secondary 05C38
MathSciNet review: 837805
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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$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0837805-6
PII: S 0002-9947(1986)0837805-6
Article copyright: © Copyright 1986 American Mathematical Society