Evolution Properties of Modules in Complex Networks

摘要

In complex networks,network modules play a center role,which carry out a key function.In this paper,we introduce the spatial correlation function to describe the relationships among the network modules.Our focus isto investigate how the network modules evolve,and what the evolution properties of the modules are.In order totest the proposed method,as the examples,we use our method to analyze and discuss the ER random network andscale-free network.Rigorous analysis of the existing data shows that the introduced correlation function is suitable fordescribing the evolution properties of network modules.Remarkably,the numerical simulations indicate that the ERrandom network and scale-free network have different evolution properties.