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arxiv: 2410.02545 · v1 · pith:IBGIRUHQ · submitted 2024-10-03 · math.CO · cs.DM· math.PR

The bunkbed conjecture is false

Nikita Gladkov , Igor Pak , Aleksandr Zimin This is my paper

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classification math.CO cs.DMmath.PR
keywords bunkbedconjecturecounterexamplebuiltexplicitfalsegivegiven
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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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