Self-similarity Formed of Complex Networks

The self-similarity of complex networks has broad practical backgrounds. It is similar to the phenomena of social relationships: "things of one kind come together, birds of a feather flock together". The reason and the course of self-similarity networks formed and these three statistics characters of complex networks are discussed and analyzed in detail in this paper; besides, the concept of self-similarity groups is defined firstly. We propose that different local networks can be covered with different edge of boxes to reveal the self-similarity of complex networks. Both theoretical analyses and simulation results are the evolution and characters more exactly for many complex networks of the real world.