Abstract
Motivated by data on the evolution of the Internet and World Wide Web we consider scenarios of self-organization of nonlinearly growing networks into free-scale structures. We find that the accelerating growth of networks establishes their structure. For growing networks with preferential linking and increasing density of links, two scenarios are possible. In one of them, the value of the exponent of the distribution of the number of incoming links is between and In the other scenario, and the distribution is necessarily nonstationary.
- Received 6 September 2000
DOI:https://doi.org/10.1103/PhysRevE.63.025101
©2001 American Physical Society