An Extended Model for Coupled Networks

An extended model for coupled networks considering three possible links, i.e. rewiring links, direct links, and cross links, is proposed in this paper. Following the establishment of the master equations of degree distributions, the exact asymptotic solutions in power law form and their corresponding exponents are obtained. It is indicated that the minimal model used can describe the acquaintance webs well. The results also show that more other known consequences can be inferred just by tuning the parameters properly.