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Potts model on complex networks
S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes
We consider the general p-state Potts model on random networks with a given degree distribution (random Bethe lattices). We find the effect of the suppression of a first order phas…
Clustering of correlated networks
S. N. Dorogovtsev
We obtain the clustering coefficient, the degree-dependent local clustering, and the mean clustering of networks with arbitrary correlations between the degrees of the nearest-neig…
Networks with desired correlations
S. N. Dorogovtsev
We discuss a simple method of constructing correlated random networks, which was recently proposed by M. Bogu~n'a and R. Pastor-Satorras (cond-mat/0306072). The result of this cons…
Spectra of complex networks
S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes +1
We propose a general approach to the description of spectra of complex networks. For the spectra of networks with uncorrelated vertices (and a local tree-like structure), exact equ…
Renormalization group for evolving networks
S. N. Dorogovtsev
We propose a renormalization group treatment of stochastically growing networks. As an example, we study percolation on growing scale-free networks in the framework of a real-space…