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Langevin approach for the dynamics of the contact process on annealed scale-free networks
Marian Boguna, Claudio Castellano, Romualdo Pastor-Satorras
We study the dynamics of the contact-process, one of the simplest nonequilibrium stochastic processes, taking place on a scale-free network. We consider the network topology as ann…
Navigating ultrasmall worlds in ultrashort time
Marian Boguna, Dmitri Krioukov
Random scale-free networks are ultrasmall worlds. The average length of the shortest paths in networks of size N scales as lnlnN. Here we show that these ultrasmall worlds can be n…
Greedy Forwarding in Dynamic Scale-Free Networks Embedded in Hyperbolic Metric Spaces
Fragkiskos Papadopoulos, Dmitri Krioukov, Marian Boguna +1
We show that complex (scale-free) network topologies naturally emerge from hyperbolic metric spaces. Hyperbolic geometry facilitates maximally efficient greedy forwarding in these…