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.Â

Time evolution of wij during the growth of the network (m 2 and N 104) for different values of . The functional behavior is consistent with the predicted power laws t, b = 1 , shown by thick lines