Disjoint directed cycles

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Abstract

It is shown that there exists a positive ε so that for any integer k, every directed graph with minimum outdegree at least k contains at least εk vertex disjoint cycles. On the other hand, for every k there is a digraph with minimum outdegree k which does not contain two vertex or edge disjoint cycles of the same length.

Original languageEnglish (US)
Pages (from-to)167-178
Number of pages12
JournalJournal of Combinatorial Theory. Series B
Volume68
Issue number2
DOIs
StatePublished - Nov 1996

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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