A characterization of rich c-partite (c > 7) tournaments without (c + 2)-cycles

Autor: Jie Zhang, Zhilan Wang, Jin Yan
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol vol. 25:2, Iss Graph Theory (2023)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.9732
Popis: 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.
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