Weighted evolving networks: coupling topology and weight dynamics.
We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution. The model is based on a simple weight-driven dynamics and generates networks exhibiting the statistical properties observed in several real-world systems. In particular, the model yields a nontrivial time evolution of vertices' properties and scale-free behavior for the weight, strength, and degree distributions.
Barrat
Alain
A
Laboratoire de Physique Théorique (UMR du CNRS 8627), Batiment 210, Université de Paris-Sud, 91405 Orsay, France.
Barthélemy
Marc
M
Vespignani
Alessandro
A
D004463:Ecology; D008660:Metabolism; D008954:Models, Biological; D008962:Models, Theoretical