When n-cycles in n-partite tournaments are longest cycles

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When n-cycles in n-partite tournaments are longest cycles

An n-tournament is an orientation of a complete n-partite graph. It was proved by J.A. Bondy in 1976 that every strongly connected n-partite tournament has an n-cycle. We characterize strongly connected n-partite tournaments in which a longest cycle is of length n and, thus, settle a problem in L. Volkmann, Discrete Math. 245 (2002) 19-53.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2004

ISSN: 0012-365X

DOI: 10.1016/j.disc.2004.10.007