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Scaling properties of scale-free evolving networks: Continuous approach
S. N. Dorogovtsev, J. F. F. Mendes
Scaling behavior of scale-free evolving networks arising in communications, citations, collaborations, etc. areas is studied. We derive universal scaling relations describing prope…
Generic scale of the "scale-free" growing networks
S. N. Dorogovtsev, J. F. F. Mendes, A. N. Samukhin
We show that the connectivity distributions of scale-free growing networks ( is the network size) have the generic scale -- the cut-off at . The scali…
Growing network with heritable connectivity of nodes
S. N. Dorogovtsev, J. F. F. Mendes, A. N. Samukhin
We propose a model of a growing network, in which preferential linking is combined with partial inheritance of connectivity (number of incoming links) of individual nodes by new on…
WWW and Internet models from 1955 till our days and the ``popularity is attractive'' principle
S. N. Dorogovtsev, J. F. F. Mendes, A. N. Samukhin
We note that the model discussed in the communication of S. Bornholdt and H. Ebel (World Wide Web scaling exponent from Simon's 1955 model, cond-mat/0008465) is the particular case…
Effect of the accelerating growth of communications networks on their structure
S. N. Dorogovtsev, J. F. F. Mendes
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…
Scaling Behaviour of Developing and Decaying Networks
S. N. Dorogovtsev, J. F. F. Mendes
We find that a wide class of developing and decaying networks has scaling properties similar to those that were recently observed by Barabási and Albert in the particular case of g…