Accelerated growth of networks

Details Accelerated growth of networks Accelerated growth of networks

2002-04-04

arxiv.org/abs/cond-mat/0204102v1

Physics

Condensed Matter

Statistical Mechanics

29 pages, 11 figures, a brief review of the accelerated growth including applications to econophysics, Contribution to `Handbo

Scientific paper

In many real growing networks the mean number of connections per vertex increases with time. The Internet, the Word Wide Web, collaboration networks, and many others display this behavior. Such a growth can be called {\em accelerated}. We show that this acceleration influences distribution of connections and may determine the structure of a network. We discuss general consequences of the acceleration and demonstrate its features applying simple illustrating examples. In particular, we show that the accelerated growth fairly well explains the structure of the Word Web (the network of interacting words of human language). Also, we use the models of the accelerated growth of networks to describe a wealth condensation transition in evolving societies.

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