Before revision: The random-cluster model is a unifying framework for studying random graphs, spin systems and random networks . The model is closely related to the classical ferromagnetic Ising and Potts models and is often viewed as a generalization of these models .
After revision: The random-cluster model is a unifying framework for studying random graphs, spin systems and electrical networks that plays a fundamental role in designing efficient Markov Chain Monte Carlo (MCMC) sampling algorithms for the classical ferromagnetic Ising and Potts models and is often viewed as a generalization of these models .