Weighted scale-free network with widely weighted dynamics

This brief paper formulates and studies a simple yet general weighted evolving network model. In contrast with the well-known Barrat-Barthélemy-Vespignani (BBV) locally weighted evolving model, this model can allow the flows to be widely updated. We provide both analysis and simulation of the network characteristics for such weighted model, and all the theoretical predictions are successfully contrasted with numerical simulations. It is shown that this model recovers three power-law distributions for the node degrees, connection weights and node strengths, respectively. Also, the droop-head and heavy-tail properties of these distributions, which are observed in many real-world networks, can be reflected by the present model. Furthermore, it turns out that the strength highly correlates with the degree and displays a scale-free behavior as confirmed by empirical evidence.