Geodesic
A characterization of rich c-partite (c > 7) tournaments without (c + 2)-cycles
Discrete mathematics & theoretical computer science, Tome 25 (2023-2024) no. 2.

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Let c be an integer. A c-partite tournament is an orientation of a complete c-partite graph. A c-partite tournament is rich if it is strong, and each partite set has at least two vertices. In 1996, Guo and Volkmann characterized the structure of all rich c-partite tournaments without (c + 1)-cycles, which solved a problem by Bondy. They also put forward a problem that what the structure of rich c-partite tournaments without (c + k)-cycles for some k>1 is. In this paper, we answer the question of Guo and Volkmann for k = 2.
DOI : 10.46298/dmtcs.9732
Classification : 05C20 
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Zhang, Jie; Wang, Zhilan; Yan, Jin. A characterization of rich c-partite (c > 7) tournaments without (c + 2)-cycles. Discrete mathematics & theoretical computer science, Tome 25 (2023-2024) no. 2. doi : 10.46298/dmtcs.9732. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.9732/

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