Effect of the accelerating growth of communications networks on their structure

Details Effect of the accelerating growth of communications networks on their structure Effect of the accelerating growth of communications networks on their structure

2000-09-05

arxiv.org/abs/cond-mat/0009065v1

Phys. Rev. E 63, 025101 (2001).

Physics

Condensed Matter

Statistical Mechanics

4 pages revtex, 3 figures

Scientific paper

10.1103/PhysRevE.63.025101

Motivated by data on the evolution of the Internet and World Wide Web we consider scenarios of self-organization of the nonlinearly growing networks into free-scale structures. We find that the accelerating growth of the networks establishes their structure. For the growing networks with preferential linking and increasing density of links, two scenarios are possible. In one of them, the value of the exponent $\gamma$ of the connectivity distribution is between 3/2 and 2. In the other, $\gamma>2$ and the distribution is necessarily non-stationary.

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