Topology and correlations in structured scale-free networks

We study a recently introduced class of scale-free networks showing a high clustering coefficient and nontrivial connectivity correlations. We find that the connectivity probability distribution strongly depends on the fine details of the model. We solve exactly the case of low average connectivity,...

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Detalles Bibliográficos
Autores: Vázquez, Alexei, Boguñá, Marián, Moreno, Yamir, Pastor-Satorras, R. (Romualdo), 1967-, Vespignani, Alessandro, 1965-
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18827
Acceso en línea:https://hdl.handle.net/2445/18827
Access Level:acceso abierto
Palabra clave:Física mèdica
Física estadística
Termodinàmica
Sistemes no lineals
Medical physics
Statistical physics
Thermodynamics
Nonlinear systems
Descripción
Sumario:We study a recently introduced class of scale-free networks showing a high clustering coefficient and nontrivial connectivity correlations. We find that the connectivity probability distribution strongly depends on the fine details of the model. We solve exactly the case of low average connectivity, providing also exact expressions for the clustering and degree correlation functions. The model also exhibits a lack of small-world properties in the whole parameter range. We discuss the physical properties of these networks in the light of the present detailed analysis.