English

An exact minimum degree condition for Hamilton cycles in oriented graphs

Combinatorics 2014-02-26 v3

Abstract

We show that every sufficiently large oriented graph with minimum in- and outdegree at least (3n-4)/8 contains a Hamilton cycle. This is best possible and solves a problem of Thomassen from 1979.

Keywords

Cite

@article{arxiv.0801.0394,
  title  = {An exact minimum degree condition for Hamilton cycles in oriented graphs},
  author = {Peter Keevash and Daniela Kühn and Deryk Osthus},
  journal= {arXiv preprint arXiv:0801.0394},
  year   = {2014}
}

Comments

revised version

R2 v1 2026-06-21T09:59:00.765Z