Effect of the accelerating growth of communications networks on their structure - art. no. 025101

Motivated by data on the evolution of the Internet and World Wide Web we co nsider scenarios of self-organization of nonlinearly growing networks into free-scale structures. We find that the accelerating growth of networks est ablishes their structure. For growing networks with preferential linking an d increasing density of links, two scenarios are possible. In one of them, the Value of the exponent gamma of the distribution of the number of incomi ng links is between 3/2 and 2. In the other scenario, gamma >2 and the dist ribution is necessarily nonstationary.