Self-similarity research of complex networks

Various kinds of network models which exist in the real world and the differences between them have been described. Especially the small network model and free-scale network model and their characteristic have been presented. The self-similarity characteristic of the complex networks has been proposed based on fractal method, self-similarity capacity dimension has been given, self-similarity performance estimate and simulation steps of complex networks have been carried out. At last, we discuss the future work for farther study.