Now showing items 1-11 of 11

  • Absence of epidemic threshold in scale-free networks with degree correlations 

    Boguña Espinal, Marian; Pastor Satorras, Romualdo; Vespignani, Alessandro (American Institute of Physics (AIP), 2003-01-15)
    Article
    Open Access
    Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution ...
  • Class of correlated random networks with hidden variables 

    Boguña Espinal, Marian; Pastor Satorras, Romualdo (2003-09)
    Article
    Open Access
    We study a class of models of correlated random networks in which vertices are characterized by hidden variables controlling the establishment of edges between pairs of vertices. We find analytical expressions for the main ...
  • Correlations in complex networks 

    Serrano Moral, Maria Angeles; Boguña Espinal, Marian; Pastor Satorras, Romualdo; Vespignani, Alessandro (2007-01-01)
    Part of book or chapter of book
    Restricted access - publisher's policy
    This book is the culmination of three years of research effort on a multidisciplinary project in which physicists, mathematicians, computer scientists and social scientists worked together to arrive at a unifying picture ...
  • Correlations in weighted networks 

    Serrano Moral, Maria Angeles; Boguña Espinal, Marian; Pastor Satorras, Romualdo (2006-11)
    Article
    Open Access
    We develop a statistical theory to characterize correlations in weighted networks. We define the appropriate metrics quantifying correlations and show that strictly uncorrelated weighted networks do not exist due to the ...
  • Cut-offs and finite size effects in scale-free networks 

    Boguña Espinal, Marian; Pastor Satorras, Romualdo; Vespignani, Alessandro (Springer, 2004-03-01)
    Article
    Open Access
    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 N is ruled by the topological constraints induced by the connectivity structure ...
  • Diffusion-annihilation processes in complex networks 

    Catanzaro, M; Boguña Espinal, Marian; Pastor Satorras, Romualdo (2005-05-10)
    Article
    Open Access
    We present a detailed analytical study of the A+A¿/0 diffusion-annihilation process in complex networks. By means of microscopic arguments, we derive a set of rate equations for the density of A particles in vertices of a ...
  • Epidemic spreading in correlated complex networks 

    Boguña Espinal, Marian; Pastor Satorras, Romualdo (2002-10)
    Article
    Open Access
    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 networks, showing only correlations between ...
  • Generation of uncorrelated random scale-free networks 

    Catanzaro, Michele; Boguña Espinal, Marian; Pastor Satorras, Romualdo (2005-02)
    Article
    Open Access
    Uncorrelated random scale-free networks are useful null models to check the accuracy and the analytical solutions of dynamical processes defined on complex networks. We propose and analyze a model capable of generating ...
  • Langevin approach for the dynamics of the contact process on annealed scale-free networks 

    Boguña Espinal, Marian; Castellano, C; Pastor Satorras, Romualdo (2009-03-19)
    Article
    Open Access
    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 annealed, i.e., all links are rewired at each ...
  • Models of social networks based on social distance attachment 

    Boguña Espinal, Marian; Pastor Satorras, Romualdo; Díaz-Guilera, A; Arenas, A (2004-11)
    Article
    Open Access
    We propose a class of models of social network formation based on a mathematical abstraction of the concept of social distance. Social distance attachment is represented by the tendency of peers to establish acquaintances ...
  • Topology and correlations in structured scale-free networks 

    Vázquez, A; Boguña Espinal, Marian; Moreno, Y; Pastor Satorras, Romualdo; Vespignani, Alessandro (2003-04)
    Article
    Open Access
    We study a recently introduced class of scale-free networks showing a high clustering coefficient and nontrivial connectivity correlations. We find that the connectivity probability distribution strongly depends on the ...