The bunkbed conjecture holds in the $p\uparrow 1$ limit

Tom Hutchcroft, Petar Nizić-Nikolac, Alexander Kent

Let $G=(V,E)$ be a countable graph. The Bunkbed graph of $G$ is the product graph $G\times K_2$, which has vertex set $V\times \{0,1\}$ with "horizontal'' edges inherited from $G$…