Mastodawn

The recently disproven bunkbed conjecture is fascinating - very topical for nowaday's hype in #multilayer #higherorder #networkscience
Not very useful with the 10^(-4331) result, but interesting: https://arxiv.org/abs/2410.02545
Here a nice explainer: https://www.youtube.com/watch?v=aDU-oTiHnCs

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).

arXiv.org