Ensembles based on the Rich-Club and how to use them to build soft-communities

Ensembles of networks are used as null–models to discriminate network structures. We present an efficient algorithm, based on the maximal entropy method to generate network ensembles defined by the degree sequence and the rich–club coefficient. The method is applicable for unweighted, undirected networks. The ensembles are used to generate correlated and uncorrelated null–models of a real networks. These ensembles can be used to define the partition of a network into soft communities.