2026-04-13T06:32:34Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/188742025-12-04T20:47:37Zcom_2072_1057col_2072_478822col_2072_478917

Class of correlated random networks with hidden variables Boguñá, Marián Pastor-Satorras, R. (Romualdo), 1967- Física mèdica Física estadística Termodinàmica Sistemes no lineals Medical physics Statistical physics Thermodynamics Nonlinear systems 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. 2011-07-07T12:54:27Z 2011-07-07T12:54:27Z 2003 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.68.036112 Physical Review e, 2003, vol. 68, núm. 3, p. 036112-1-036112-13 http://dx.doi.org/10.1103/PhysRevE.68.036112 (c) American Physical Society, 2003 info:eu-repo/semantics/openAccess The American Physical Society Articles publicats en revistes (Física de la Matèria Condensada)