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Extendable Cycles in Multipartite Tournaments

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Abstract.

An n-partite tournament is an orientation of a complete n-partite graph. If D is a strongly connected n-partite (n≥3) tournament, then we shall prove that every partite set of D has at least one vertex which lies on a cycle C m of each length m for such that V(C 3)⊂V(C 4)⊂⋯⊂V(C n ), where V(C m ) is the vertex set of C m for . This result extends those of Bondy [2], Guo and Volkmann [4], Gutin [6], Moon [8], and Yeo [12].

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Correspondence to Lutz Volkmann.

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Final version received: June 9, 2003

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Guo, Y., Volkmann, L. Extendable Cycles in Multipartite Tournaments. Graphs and Combinatorics 20, 185–190 (2004). https://doi.org/10.1007/s00373-003-0548-6

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  • DOI: https://doi.org/10.1007/s00373-003-0548-6

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