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1 School of Informatics, Indiana University 2 DPTA - Département de Physique Théorique et Appliquée 3 LPT - Laboratoire de Physique Théorique d-Orsay Orsay

Abstract : We report a study of the correlations among topological, weighted and spatial properties of large infrastructure networks. We review the empirical results obtained for the air transportation infrastructure that motivates a network modeling approach which integrates the various attributes of this network. In particular we describe a class of models which include a weight-topology coupling and the introduction of geographical attributes during the network evolution. The inclusion of spatial features is able to capture the appearance of non-trivial correlations between the traffic flows, the connectivity pattern and the actual distances of vertices. The anomalous fluctuations in the betweenness-degree correlation function observed in empirical studies are also recovered in the model. The presented results suggest that the interplay between topology, weights and geographical constraints is a key ingredient in order to understand the structure and evolution of many real-world networks.





Autor: Marc Barthelemy - Alain Barrat - Alessandro Vespignani -

Fuente: https://hal.archives-ouvertes.fr/



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