The acyclic directed bunkbed conjecture is false
Combinatorics
2026-01-19 v2 Probability
Abstract
We construct a simple acyclic directed graph for which the Bunkbed Conjecture is false, thereby resolving conjectures posed by Leander and by Hollom.
Cite
@article{arxiv.2506.22284,
title = {The acyclic directed bunkbed conjecture is false},
author = {Tomasz Przybyłowski},
journal= {arXiv preprint arXiv:2506.22284},
year = {2026}
}
Comments
7 pages; accepted for publication in European Journal of Combinatorics