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The lifespan method as a tool to study criticality in absorbing-state phase transitions
Angélica S. Mata, Marian Boguñá, Claudio Castellano +1
In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [Phys. Rev. Lett. \tex…
Hyperbolic Geometry of Complex Networks
Dmitri Krioukov, Fragkiskos Papadopoulos, Maksim Kitsak +2
We develop a geometric framework to study the structure and function of complex networks. We assume that hyperbolic geometry underlies these networks, and we show that with this as…
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…
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…
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…
Topology and correlations in structured scale-free networks
Alexei Vazquez, Marian Boguna, Yamir Moreno +2
We study a recently introduced class of scale-free networks showing a high clustering coefficient and non-trivial connectivity correlations. We find that the connectivity probabili…
Absence of epidemic threshold in scale-free networks with connectivity correlations
Marian Boguna, Romualdo Pastor-Satorras, Alessandro Vespignani
Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide an exact result showing that a scale-free connectivity distribu…
Epidemic spreading in correlated complex networks
Marian Boguna, Romualdo Pastor-Satorras
We study a dynamical model of epidemic spreading on complex networks in which there are explicit correlations among the node's connectivities. For the case of Markovian complex net…