Math News: The Bunkbed conjecture was just debunked!!!!!!!

Описание к видео Math News: The Bunkbed conjecture was just debunked!!!!!!!

The famous bunkbed conjecture in probabilistic graph theory was disproven with a crazy counterexample with 7222 vertices!

Papers cited:
1) The main paper by Gladkov, Pak, and Zimin: https://arxiv.org/abs/2410.02545
2) The paper by Wagner documenting the machine learning algorithm: https://arxiv.org/abs/2104.14516
3) The paper by Hollom giving the counterexample in the hypergraph generalization: https://arxiv.org/pdf/2406.01790
4) Blog Post by Pak explaining the paper a bit more colloquially: https://igorpak.wordpress.com/2024/10...
5) Blog Post by Pak on "what if they are all wrong", and the value of searching for counterexamples to conjectures: https://igorpak.wordpress.com/2020/12...

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