Statistical mechanics of complex networks

Details Statistical mechanics of complex networks Statistical mechanics of complex networks

2001-06-06

arxiv.org/abs/cond-mat/0106096v1

Reviews of Modern Physics 74, 47 (2002)

Physics

Condensed Matter

Statistical Mechanics

54 pages, submitted to Reviews of Modern Physics

Scientific paper

10.1103/RevModPhys.74.47

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical links. While traditionally these systems were modeled as random graphs, it is increasingly recognized that the topology and evolution of real networks is governed by robust organizing principles. Here we review the recent advances in the field of complex networks, focusing on the statistical mechanics of network topology and dynamics. After reviewing the empirical data that motivated the recent interest in networks, we discuss the main models and analytical tools, covering random graphs, small-world and scale-free networks, as well as the interplay between topology and the network's robustness against failures and attacks.

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