English

Tournament Minors

Combinatorics 2012-06-15 v1 Discrete Mathematics

Abstract

We say a digraph GG is a {\em minor} of a digraph HH if GG can be obtained from a subdigraph of HH by repeatedly contracting a strongly-connected subdigraph to a vertex. Here, we show the class of all tournaments is a well-quasi-order under minor containment.

Keywords

Cite

@article{arxiv.1206.3135,
  title  = {Tournament Minors},
  author = {Ilhee Kim and Paul Seymour},
  journal= {arXiv preprint arXiv:1206.3135},
  year   = {2012}
}
R2 v1 2026-06-21T21:19:19.303Z