Disjoint directed cycles

Noga Alon*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

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

Funding

FundersFunder number
Fund for Basic Research
U.S.A. Israel BSF
Israel Academy of Sciences and Humanities

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