Let G = ( V , E ) be a graph, with the number of vertices being n = | V | and the number of edges being m = | E | . We denote a spin configuration as σ σ ∈ ∈ Z q n and a bond configuration as ω ω ∈ ∈ { 0 , 1 } m . The joint measure of ( σ σ , ω ω ) is given as