Hamilton cycles in highly connected and expanding graphs

Dan Hefetz, Michael Krivelevich, Tibor Szabó

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


In this paper we prove a sufficient condition for the existence of a Hamilton cycle, which is applicable to a wide variety of graphs, including relatively sparse graphs. In contrast to previous criteria, ours is based on two properties only: one requiring expansion of "small" sets, the other ensuring the existence of an edge between any two disjoint "large" sets. We also discuss applications in positional games, random graphs and extremal graph theory.

Original languageEnglish
Pages (from-to)547-568
Number of pages22
Issue number5
StatePublished - 2009
Externally publishedYes


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