English

Immersion of transitive tournaments in digraphs with large minimum outdegree

Combinatorics 2017-11-01 v1

Abstract

We prove the existence of a function h(k)h(k) such that every simple digraph with minimum outdegree greater than h(k)h(k) contains an immersion of the transitive tournament on kk vertices. This solves a conjecture of Devos, McDonald, Mohar and Scheide.

Keywords

Cite

@article{arxiv.1710.11482,
  title  = {Immersion of transitive tournaments in digraphs with large minimum outdegree},
  author = {W. Lochet},
  journal= {arXiv preprint arXiv:1710.11482},
  year   = {2017}
}