Class of correlated random networks with hidden variables
Rights accessOpen Access
We study a class of models of correlated random networks in which vertices are characterized by hidden variables controlling the establishment of edges between pairs of vertices. We find analytical expressions for the main topological properties of these models as a function of the distribution of hidden variables and the probability of connecting vertices. The expressions obtained are checked by means of numerical simulations in a particular example. The general model is extended to describe a practical algorithm to generate random networks with an a priori specified correlation structure. We also present an extension of the class, to map nonequilibrium growing networks to networks with hidden variables that represent the time at which each vertex was introduced in the system.
CitationBoguña, M., Pastor-Satorras, R. Class of correlated random networks with hidden variables. "Physical review E, statistical physics, plasmas, fluids, and related interdisciplinary topics", Setembre 2003, vol. 68, núm. 3, p. 036112-1-036112-13.