English

Impartial digraphs

Combinatorics 2020-06-15 v2

Abstract

We prove a conjecture of Fox, Huang, and Lee that characterizes directed graphs that have constant density in all tournaments: they are disjoint unions of trees that are each constructed in a certain recursive way.

Keywords

Cite

@article{arxiv.1906.10482,
  title  = {Impartial digraphs},
  author = {Yufei Zhao and Yunkun Zhou},
  journal= {arXiv preprint arXiv:1906.10482},
  year   = {2020}
}

Comments

15 pages

R2 v1 2026-06-23T10:02:59.316Z