Cycles of length 0 modulo k in directed graphs

Noga Alon, N. Linial

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We show that every digraph D with minimum outdegree δ and maximum indegree Δ contains a directed cycle of length 0(mod k), provided e[Δd + 1](1 - 1 k)δ < 1. In particular, if Δ < (2δ - e) eδ the D contains an even cycle.

Original languageEnglish (US)
Pages (from-to)114-119
Number of pages6
JournalJournal of Combinatorial Theory, Series B
Issue number1
StatePublished - Aug 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


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