A constant acceleration local-world model for complex networks

In many real-world networks, the rates of node and link addition are time dependent. The nodes in a community within a network are much more connected to each other than to the others outside the community in the same network. A constant acceleration local-world model has been proposed to capture and describe the essential topological properties of real networks. A mean-field method has been used to calculate analytically the connectivity distribution and the scaling exponents. By contrast, we apply a master-equation approach to such network development. At last, the constant acceleration local-world model is applied to characterize the Internet against BA model, demonstrating the superiority of the new model.