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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