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Analytic solution of a static scale-free network model
Michele Catanzaro, Romualdo Pastor-Satorras
We present a detailed analytical study of a paradigmatic scale-free network model, the Static Model. Analytical expressions for its main properties are derived by using the hidden…
Rate equation approach for correlations in growing network models
Alain Barrat, Romualdo Pastor-Satorras
We propose a rate equation approach to compute two vertex correlations in scale-free growing network models based in the preferential attachment mechanism. The formalism, based on…
Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
Marc Barthelemy, Alain Barrat, Romualdo Pastor-Satorras +1
We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the…
Characterization and Modeling of weighted networks
Marc Barthelemy, Alain Barrat, Romualdo Pastor-Satorras +1
We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific…
Diffusion-annihilation processes in complex networks
Michele Catanzaro, Marian Boguna, Romualdo Pastor-Satorras
We present a detailed analytical study of the diffusion-annihilation process in complex networks. By means of microscopic arguments, we derive a set of rate equat…
Generation of uncorrelated random scale-free networks
Michele Catanzaro, Marian Boguna, Romualdo Pastor-Satorras
Uncorrelated random scale-free networks are useful null models to check the accuracy an the analytical solutions of dynamical processes defined on complex networks. We propose and…
Self-organization of collaboration networks
Jose J. Ramasco, S. N. Dorogovtsev, Romualdo Pastor-Satorras
We study collaboration networks in terms of evolving, self-organizing bipartite graph models. We propose a model of a growing network, which combines preferential edge attachment w…