The bunkbed conjecture is false
N
Nikita Gladkov
(Department of Mathematics)
I
Igor Pak
(Department of Mathematics)
A
Aleksandr Zimin
(Department of Mathematics)
Abstract
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).
Article Details
Volume / Issue
Vol. 122, Issue 24
Published
June 17, 2025
ISSN
0027-8424
Publisher
National Academy of Sciences
Journal Info
Proceedings of the National Academy of Sciences
National Academy of Sciences
ISSN: 0027-8424 Life Sciences
Authors (3)
N
Nikita Gladkov
Department of Mathematics
I
Igor Pak
Department of Mathematics
A
Aleksandr Zimin
Department of Mathematics
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