Degree Correlation Analysis Method of Mixed Networks

Abstract

In order to characterize the law of the degree correlations in the evolution of complex networks and explore the mechanism responsible for degree correlations, we investigate the degree correlations in mixed networks. We study the two-node degree correlations in networks with preferential attachment and intrinsic attachment. Using the dynamic system's rate equation approach under the assumption of continuous degree, we give the analytical result for two-node degree correlations, expressed by average nearest-neighbor degree (ANND). Analytical result shows that ANND decreases with respect to degree, which means that networks we studied are disassortative mixing. We also get the degree correlations of Barab¢si-Albert model, which is in the line with the existed result. Finally, the analytical result is in agreement with the numerical simulation.