Evolving Small-World Networks based on the Modified BA Model

In order to mimic complex real-life systems, in this paper, we propose evolving small-world networks based on the modified BA model. In the process of network evolution, the links among the new nodes at each time step are involved, which is different from the classic BA model. The simulation results show our model exhibits the small-world property and the scale-free structure. Since most real networks are both scale-free and small-world networks, our model may provide a satisfactory description for empirical characteristics of real networks.