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Evolution of networks (2002)
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| Venue: | Adv. Phys |
| Citations: | 417 - 3 self |
BibTeX
@INPROCEEDINGS{Dorogovtsev02evolutionof,
author = {S. N. Dorogovtsev and J. F. F. Mendes},
title = {Evolution of networks},
booktitle = {Adv. Phys},
year = {2002},
pages = {1079--1187}
}
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Abstract
We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant artificial networks of such a kind came into existence recently. This opens a wide field for the study of their topology, evolution, and complex processes occurring in them. Such networks possess a rich set of scaling properties. A number of them are scale-free and show striking resilience against random breakdowns. In spite of large sizes of these networks, the distances between most their vertices are short — a feature known as the “smallworld” effect. We discuss how growing networks self-organize into scale-free structures and the role of the mechanism of preferential linking. We consider the topological and structural properties of evolving networks, and percolation in these networks. We present a number of models demonstrating the main features of evolving networks and discuss current approaches for their simulation and analytical study. Applications of the general results to particular networks in Nature are discussed. We demonstrate the generic connections of the network growth processes with the general problems
Keyphrases
structural property social science recent fast progress network growth current approach general problem general result statistical physic scale-free structure smallworld effect particular network generic connection complex process analytical study random breakdown preferential linking random complex network main feature large size striking resilience giant artificial network rich set wide field
