Long cycles in critical graphs

Noga Alon, Michael Krivelevich, Paul Seymour

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


It is shown that any k-critical graph with n vertices contains a cycle of length at least 2√log(n-1)/log(k-2), improving a previous estimate of Kelly and Kelly obtained in 1954.

Original languageEnglish (US)
Pages (from-to)193-196
Number of pages4
JournalJournal of Graph Theory
Issue number3
StatePublished - Nov 2000

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


  • Critical graph
  • Cycle
  • Extremal

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