English

Paths in tournaments a simple proof of Rosenfeld's Conjecture

Combinatorics 2020-12-01 v1

Abstract

Rosenfeld Conjectured in 1972 that there exists an integer K \geq 8 such that any tournament of order n \geq K contains any Hamiltonian oriented path. In 2000, Havet and Thomass\'e proved this conjecture for any tournament with exactly 3 exceptions. We give a simplified proof of this fact.

Keywords

Cite

@article{arxiv.2011.14394,
  title  = {Paths in tournaments a simple proof of Rosenfeld's Conjecture},
  author = {Charbel Bou Hanna},
  journal= {arXiv preprint arXiv:2011.14394},
  year   = {2020}
}