Edge-inclusion formula for a uniform spanning tree
= Edge-inclusion formula for a uniform spanning tree
{title2=$\mathbb P(e\in T)=c_eR_{\mathrm{eff}}(a,b)$}
For an edge $e=\{a,b\}$ of conductance $c_e$ in a finite <electrical network>, its inclusion probability in the conductance-weighted <uniform spanning tree> is $c_eR_{\mathrm{eff}}(a,b)$. The same formula holds for the wired limit using the limiting wired <effective resistance>.