The acyclic directed bunkbed conjecture is false

We construct a simple acyclic directed graph for which the Bunkbed Conjecture is false, thereby resolving conjectures posed by Leander and by Hollom.

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Publication Details

Journal
European Journal of Combinatorics
Published
2025-11-20
DOI
https://doi.org/10.1016/j.ejc.2025.104289
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

The acyclic directed bunkbed conjecture is false

Tomasz Przybyłowski
European Journal of Combinatorics
Geometric and Algebraic Topology
article

The acyclic directed bunkbed conjecture is false

Tomasz Przybyłowski
article en

Abstract

We construct a simple acyclic directed graph for which the Bunkbed Conjecture is false, thereby resolving conjectures posed by Leander and by Hollom.

European Journal of CombinatoricsVol. 132
University of Oxford (GB)
Openalex Percentile: Top 59%
Geometric and Algebraic Topology
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The acyclic directed bunkbed conjecture is false — Tomasz Przybyłowski · European Journal of Combinatorics (2025) | TGRS Research Map | TGRS