Random cluster model on regular graphs

Ferenc Bencs, Márton Borbényi, Péter Csikvári

For a graph $G=(V,E)$ with $v(G)$ vertices the partition function of the random cluster model is defined by $$Z_G(q,w)=\sum _{A\subseteq E(G)}{q}^{k(A)}{w}^{|A|},$$ where $k(A)$ denotes…