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» Berge's conjecture on directed path partitions - a survey
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DM
2006
135views more  DM 2006»
13 years 4 months ago
Berge's conjecture on directed path partitions - a survey
Berge's conjecture from 1982 on path partitions in directed graphs generalizes and extends Dilworth's Theorem and the Greene-Kleitman Theorem which are well known for pa...
Irith Ben-Arroyo Hartman
BIRTHDAY
2009
Springer
13 years 11 months ago
On Path Partitions and Colourings in Digraphs
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...
Irith Ben-Arroyo Hartman