Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/13910
Title: Curvature and temperature of complex networks
Authors: Boguñá, Marián 
Papadopoulos, Fragkiskos 
Vahdat, Amin 
Krioukov, Dmitri 
Major Field of Science: Engineering and Technology
Field Category: Electrical Engineering - Electronic Engineering - Information Engineering
Keywords: Complex networks;Degree distributions;Exponential expansion;Fermi-Dirac statistics;Hyperbolic models;Hyperbolic plane;Hyperbolic spaces;Internet routing;Local information;Physical interpretation;Scale-free topologies;Space curvatures
Issue Date: 23-Sep-2009
Source: Physical Review E, 2009, vol. 80, no. 3
Volume: 80
Issue: 3
Journal: Physical Review E 
Abstract: We show that heterogeneous degree distributions in observed scale-free topologies of complex networks can emerge as a consequence of the exponential expansion of hidden hyperbolic space. Fermi-Dirac statistics provides a physical interpretation of hyperbolic distances as energies of links. The hidden space curvature affects the heterogeneity of the degree distribution, while clustering is a function of temperature. We embed the internet into the hyperbolic plane and find a remarkable congruency between the embedding and our hyperbolic model. Besides proving our model realistic, this embedding may be used for routing with only local information, which holds significant promise for improving the performance of internet routing. © 2009 The American Physical Society.
ISSN: 24700053
DOI: 10.1103/PhysRevE.80.035101
Rights: © American Physical Society
Type: Article
Affiliation : University of California, San Diego 
Universitat de Barcelona 
Publication Type: Peer Reviewed
Appears in Collections:Άρθρα/Articles

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