2 problems

Let $G$ be a graph, let $T\subset V(G)$ be a set of posts, and let $\nu^{\text{F}}_{G,T}$ denote the alternate arboreal gas measure on red-blue edge-colourings, restricted so that…

Let $G$ be a graph, let $\widetilde{G}$ be its associated bunkbed graph, and let $\mu^{\text{F}}_{\widetilde{G},\lambda}$ denote the arboreal gas measure with parameter $\lambda$.…