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JOURNALS // Computer Research and Modeling // Archive

Computer Research and Modeling, 2010 Volume 2, Issue 2, Pages 121–141 (Mi crm587)

This article is cited in 32 papers

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Introduction to the theory of complex networks

I. A. Yevin

Mechanical Engineering Institute, 4, Maliy Charitonjevskiy pereulok, Moscow, 101909 Russia

Abstract: There was a new direction of studying of the complex systems last years, considering them as networks. Nodes in such networks represent elements of these complex systems, and links between nodes — interactions between elements. These researches deal with real systems, such as biological (metabolic networks of cells, functional networks of a brain, ecological systems), technical (the Internet, WWW, networks of the companies of cellular communication, power grids), social (networks of scientific cooperation, a network of movie actors, a network of acquaintances). It has appeared that these networks have more complex architecture, than classical random networks. In the offered review the basic concepts theory of complex networks are given, and the basic directions of studying of real networks structures are also briefly described.

Keywords: small-world phenomenon, scale-free networks, assortativity, cascading failures.

UDC: 519.1+538.911

Received: 29.03.2010
Revised: 26.05.2010

DOI: 10.20537/2076-7633-2010-2-2-121-141



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