Weighted evolving networks: coupling topology and weight dynamics.

@article{Barrat2004WeightedEN,
  title={Weighted evolving networks: coupling topology and weight dynamics.},
  author={Alain Barrat and Marc Barthelemy and Alessandro Vespignani},
  journal={Physical review letters},
  year={2004},
  volume={92 22},
  pages={228701}
}
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. 
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