Curvature and temperature of complex networks

作     者：Dmitri Krioukov Fragkiskos Papadopoulos Amin Vahdat Marián Boguñá 

作者机构：Cooperative Association for Internet Data Analysis (CAIDA) University of California — San Diego (UCSD) La Jolla California 92093 USA Department of Computer Science and Engineering University of California–San Diego (UCSD) La Jolla California 92093 USA Departament de Física Fonamental Universitat de Barcelona Martí i Franquès 1 08028 Barcelona Spain 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2009年第80卷第3期

页      面：035101(R)-035101(R)页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

基　　金：National Science Foundation  NSF  (0434996  0722070) 

主　　题：Complex networks 

摘      要：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.