The bunkbed conjecture is false
We give an explicit counterexample to the bunkbed conjecture introduced by Kasteleyn in 1985. The counterexample is given by a planar graph on 7,222 vertices and is built on the recent work of Hollom (2024).
Authors
- Nikita Gladkov (ORCID: https://orcid.org/0000-0001-8671-7229)
- Igor Pak (ORCID: https://orcid.org/0000-0001-8579-7239)
- Aleksandr Zimin
Institutions
- University of California, Los Angeles (US)
- University of California System (US)
- Toronto Metropolitan University (CA)
- Massachusetts Institute of Technology (US)
Publication Details
- Journal
- Proceedings of the National Academy of Sciences
- Published
- 2025-06-13
- DOI
- https://doi.org/10.1073/pnas.2420725122
- Citations
- 3
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- article
- Field-Weighted Citation Impact
- 11.08
Funders
- Division of Computing and Communication Foundations