Characterization and Modeling of weighted networks - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physica A: Statistical Mechanics and its Applications Année : 2005

Characterization and Modeling of weighted networks

Résumé

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical infrastructures and social systems, respectively. The main empirical results are (i) the broad distributions of various quantities and (ii) the existence of weight-topology correlations. These measurements show that weights are relevant and that in general the modeling of complex networks must go beyond topology. We review a model which provides an explanation for the features observed in several real-world networks. This model of weighted network formation relies on the dynamical coupling between topology and weights, considering the rearrangement of weights when new links are introduced in the system.

Dates et versions

hal-00014383 , version 1 (24-11-2005)

Identifiants

Citer

Marc Barthelemy, Alain Barrat, Romualdo Pastor-Satorras, Alessandro Vespignani. Characterization and Modeling of weighted networks. Physica A: Statistical Mechanics and its Applications, 2005, 346, pp.34-43. ⟨hal-00014383⟩
119 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More