A proof of Sumner's universal tournament conjecture for large tournaments

作者:Kuehn Daniela; Mycroft Richard; Osthus Deryk
来源:Proceedings of the London Mathematical Society, 2011, 102(4): 731-766.
DOI:10.1112/plms/pdq035

摘要

Sumner's universal tournament conjecture states that any tournament on 2n - 2 vertices contains any directed tree on n vertices. In this paper we prove that this conjecture holds for all sufficiently large n. The proof makes extensive use of results and ideas from a recent paper by the same authors, in which an approximate version of the conjecture was proved.

  • 出版日期2011-4