The bunkbed conjecture is false.
other · Level V
Where this comes from
- Record sourced from PubMed, PMID 40512791.
- Also identified by DOI 10.1073/pnas.2420725122 and PMC identifier 12184427.
- Licence recorded as CC BY-NC-ND.
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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).