A New Scale Free Evolving Network Model with Community Structure

Understanding and modeling the structure of a complex network can lead to a better knowledge of its evolutionary mechanisms, and to a better cottoning on its dynamic and functional behavior. The nodes within a network not only tend to connect the nodes with high degree (scale-free property), and tend to connect with their relatively close distance nodes (community structure property), and the high-degree nodes are easier to connect with their relatively far nodes comparing with the low-degree nodes in the process of network evolution. This phenomenon has been commonly observed from many real-world networks, ranging from social to biological even to technical networks. To model this kind of networks, the present letter proposes a scale free network model with community structure (SFC) to capture and describe their essential topological properties. Numerical simulations indicate that the generated network based on SFC model has scale-free and community structure property. Under the control of the parameters of the model, the community structure of network can be adjustable.