English

Paths of given length in tournaments

Combinatorics 2023-02-13 v2

Abstract

We prove that every nn-vertex tournament has at most n(n12)kn\left(\frac{n-1}{2}\right)^k walks of length kk.

Keywords

Cite

@article{arxiv.2012.00262,
  title  = {Paths of given length in tournaments},
  author = {Ashwin Sah and Mehtaab Sawhney and Yufei Zhao},
  journal= {arXiv preprint arXiv:2012.00262},
  year   = {2023}
}

Comments

Appendix with alternative entropy proof by Dingding Dong and Tomasz \'Slusarczyk

R2 v1 2026-06-23T20:37:42.181Z