English

Counting odd cycle free orientations of graphs

Combinatorics 2020-06-03 v1

Abstract

In this short note we determine the maximum number, over all nn-vertex graphs GG, of orientations of GG containing no strongly connected cycle C2k+1C_{2k+1}. This answers a part of a recent question of Araujo, Botler and Mota.

Keywords

Cite

@article{arxiv.2006.01670,
  title  = {Counting odd cycle free orientations of graphs},
  author = {M. Bucić and B. Sudakov},
  journal= {arXiv preprint arXiv:2006.01670},
  year   = {2020}
}

Comments

4 pages

R2 v1 2026-06-23T15:59:47.392Z