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Title: Class of correlated random networks with hidden variables
Author: Boguñá, Marián
Pastor-Satorras, R. (Romualdo), 1967-
Keywords: Física mèdica
Física estadística
Sistemes no lineals
Medical physics
Statistical physics
Nonlinear systems
Issue Date: 2003
Publisher: The American Physical Society
Abstract: 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.
Note: Reproducció del document publicat a:
It is part of: Physical Review e, 2003, vol. 68, núm. 3, p. 036112-1-036112-13
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ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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