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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…
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…
Betweenness Centrality in Large Complex Networks
Marc Barthelemy
We analyze the betweenness centrality (BC) of nodes in large complex networks. In general, the BC is increasing with connectivity as a power law with an exponent . We find that…
Comment on: 'Universal Behavior of Load Distribution in Scale-free Networks'
Marc Barthelemy
In a previous Letter (cond-mat/0106565), Goh et al have presented a numerical study of the load--or betweenness centrality--distribution in a scale-free network whose degree distri…
Connectivity Distribution of Spatial Networks
Carl Herrmann, Marc Barthelemy, Paolo Provero
We study spatial networks constructed by randomly placing nodes on a manifold and joining two nodes with an edge whenever their distance is less than a certain cutoff. We derive th…