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- W2097803233 abstract "In 1982 Thomassen asked whether there exists an integer f(k,t) such that every strongly f(k,t)-connected tournament T admits a partition of its vertex set into t vertex classes V 1,…V t such that for all i the subtournament T[V i] induced on T by V i is strongly k-connected. Our main result implies an affirmative answer to this question. In particular we show that f(k, t)=O(k 7 t 4) suffices. As another application of our main result we give an affirmative answer to a question of Song as to whether, for any integer t, there exists aninteger h(t) such that every strongly h(t)-connected tournament has a 1-factor consisting of t vertex-disjoint cycles of prescribed lengths. We show that h(t)=O(t 5) suffices." @default.
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- W2097803233 date "2015-06-24" @default.
- W2097803233 modified "2023-10-14" @default.
- W2097803233 title "Proof of a tournament partition conjecture and an application to 1-factors with prescribed cycle lengths" @default.
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- W2097803233 doi "https://doi.org/10.1007/s00493-015-3186-8" @default.
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