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- W1567474719 abstract "We provide a new proof of a theorem of Saks which is an extension of Greene's Theorem to acyclic digraphs, by reducing it to a similar, known extension of Greene and Kleitman's Theorem. This suggests that the Greene-Kleitman Theorem is stronger than Greene's Theorem on posets. We leave it as an open question whether the same holds for all digraphs, that is, does Berge's conjecture concerning path partitions in digraphs imply the extension of Greene's theorem to all digraphs (conjectured by Aharoni, Hartman and Hoffman)?" @default.
- W1567474719 created "2016-06-24" @default.
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- W1567474719 date "2009-01-01" @default.
- W1567474719 modified "2023-09-25" @default.
- W1567474719 title "On Path Partitions and Colourings in Digraphs" @default.
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- W1567474719 doi "https://doi.org/10.1007/978-3-642-02029-2_13" @default.
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