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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…
Competition and adaptation in an Internet evolution model
M. Angeles Serrano, Marian Boguna, Albert Diaz-Guilera
We model the evolution of the Internet at the Autonomous System level as a process of competition for users and adaptation of bandwidth capability. We find the exponent of the degr…