The bunkbed conjecture is false
<|reference_start|>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 $7222$ vertices, and is built on the recent work of Hollom (2024).<|reference_end|>
@article{gladkov2024the,
    title={The bunkbed conjecture is false},
    author={Nikita Gladkov, Igor Pak and Aleksandr Zimin},
    journal={arXiv preprint arXiv:2410.02545},
    year={2024},
    archivePrefix={arXiv},
    eprint={2410.02545},
    primaryClass={math.CO cs.DM math.PR}
}