A weighted network model with simultaneous change of node and edge

In this paper, we propose a new weighted evolving complex network model. In this model, besides a new node´s introduction to the networks and new edges´adding between this new node and old nodes, there are also new edges´adding between old vertices, existing edges´ removal, and old sites´deletion. Using mean field theory, we establish the evolution equation of strengths and weights. And we performed numerical simulations of networks generated by using the present model. The simulation results show that this network model yields three power-law distributions for the node degrees, connection weights and node strengths respectively, as confirmed in many real networks; and the strength highly correlates with the degree and displays scale-free property, which is in consistence with empirical evidence.