Abstract
Now people have increasingly in-depth understanding of the complex network, which demonstrates a wide variety of high technological systems, such as Internet network, social network, the World Wide Web and so on. The establishment of complex network model of these systems, including small world model and scale-free model, has been a hot research field in recent years. This thesis aims at studying these networks to find out their mechanisms, taking cognizance of their developing rules, and understanding the relationship between their structure and the complex functioning processes on them, so as to accumulate the knowledge about the natural rules dominating the complex systems. Through this research, we hope to find the solutions to the problems mentioned above and to give a general review about complex networks.