Characterization and Modeling of weighted networks

Details Characterization and Modeling of weighted networks Characterization and Modeling of weighted networks

2004-08-26

arxiv.org/abs/cond-mat/0408566v1

Physica A 346 (2005) 34-43

Physics

Condensed Matter

Statistical Mechanics

Proceedings of the conference "Complex networks: structure, function and processes", Kolkata (Satellite Meeting of STATPHYS 22

Scientific paper

10.1016/j.physa.2004.08.047

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.

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