Please use this identifier to cite or link to this item: https://ktisis.cut.ac.cy/handle/10488/13910
Title: Curvature and temperature of complex networks
Authors: Boguñá, Marián
Papadopoulos, Fragkiskos 
Vahdat, Amin 
Krioukov, Dmitri
Category: Electrical Engineering - Electronic Engineering - Information Engineering
Field: Engineering and Technology
Issue Date: 23-Sep-2009
Source: Physical Review E, 2009, vol. 80, no. 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: 1539-3755
DOI: 10.1103/PhysRevE.80.035101
Type: Article
Appears in Collections:Άρθρα/Articles

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