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The bunkbed conjecture is false
classification
math.CO
cs.DMmath.PR
keywords
bunkbedconjecturecounterexamplebuiltexplicitfalsegivegiven
read the original abstract
We give an explicit counterexample to the Bunkbed Conjecture introduced by Kasteleyn in 1985. The counterexample is given by a planar graph on $7222$ vertices, and is built on the recent work of Hollom (2024).
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