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Class of correlated random networks with hidden variables

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Boguñá, Marián, Pastor-Satorras, Romualdo·2003·Physical Review E

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.

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Metadata

Authors
Boguñá, M., & Pastor-Satorras, R.
Venue
Physical Review E
Published
2003-09-15
Volume
68
Issue
3
Pages
036112-036112
ISSN
  • 1063-651X (ISSN-L)
  • 1095-3787
OpenAlex
W1995052256
Cited by
452
References
4
FWCI
13.38
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Class of correlated random networks with hidden variables. https://app.cochat.ai/papers/10.1103/physreve.68.036112
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Boguñá, M., & Pastor-Satorras, R. (2003). Class of correlated random networks with hidden variables. Physical Review E. https://doi.org/10.1103/physreve.68.036112

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.