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  • Walecki tournaments. Part 3
    Aleš, Janez, 1966-
    Walecki tournaments were defined by Alspach in 1966. They speak in favor of Kelly's conjecture from 1964. Namely, they are regular tournaments which admit Hamilton directed cycle decomposition. The ... enumeration of Walecki tournaments was presented as an open problem in a paper by Alspach in 1989. Those two problems led us to study the arc structure of Walecki tournaments. They possess a broad range of subtournaments isomorphic to some Walecki tournament. A specific permutation is proven to be an automorphism of a Walecki tournament with a given pattern. Subtournaments induced by the outsets of vertex ▫$t_{(0)}$▫ are proven to be either regular or almost regular.
    Vir: Preprint series. - ISSN 1318-4865 (Vol. 39, št. 741, 2001, str. 1-33)
    Vrsta gradiva - članek, sestavni del
    Leto - 2001
    Jezik - angleški
    COBISS.SI-ID - 10443097

vir: Preprint series. - ISSN 1318-4865 (Vol. 39, št. 741, 2001, str. 1-33)

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