  We study the Hamiltonicity of the following model of a random graph. Suppose
that we partition [n] into V_1,V_2,...,V_k and add edge {x,y} to our graph with
probability p if there exists i such that x,y\in V_i. Otherwise, we add the
edge with probbability q. We denote this model by G(n, p,q) and give tight
results for Hamiltonicity, including a critical window analysis, under various
conditions.
