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The architecture of complex weighted networks
Alain Barrat, Marc Barthelemy, Romualdo Pastor-Satorras +1
Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly in…
Cut-offs and finite size effects in scale-free networks
Marian Boguna, Romualdo Pastor-Satorras, Alessandro Vespignani
We analyze the degree distribution's cut-off in finite size scale-free networks. We show that the cut-off behavior with the number of vertices is ruled by the topological const…
Velocity and hierarchical spread of epidemic outbreaks in scale-free networks
Marc Barthelemy, Alain Barrat, Romualdo Pastor-Satorras +1
We study the effect of the connectivity pattern of complex networks on the propagation dynamics of epidemics. The growth time scale of outbreaks is inversely proportional to the ne…
Emergence of clustering, correlations, and communities in a social network model
Marian Boguna, Romualdo Pastor-Satorras, Albert Diaz-Guilera +1
We propose a simple model of social network formation that parameterizes the tendency to establish acquaintances by the relative distance in a representative social space. By means…
Class of correlated random networks with hidden variables
Marian Boguna, Romualdo Pastor-Satorras
We study a class models of correlated random networks in which vertices are characterized by \textit{hidden variables} controlling the establishment of edges between pairs of verti…
Stochastic theory of synchronization transitions in extended systems
Miguel A. Munoz, Romualdo Pastor-Satorras
We propose a general Langevin equation describing the universal properties of synchronization transitions in extended systems. By means of theoretical arguments and numerical simul…