Scaling properties of complex networks: Towards Wilsonian renormalization for complex networks

Abstract

Recently, kinds of scaling schemes for general large scale complex networks have been developed and attracted much attention. We propose a new scaling scheme named "two-sites scaling" and investigate how the degree distribution of network changes in applying the proposed scheme to various networks. Notably, the results indicate that networks constructed by BA algorithm behave differently compared with networks commonly appearing in the real world. In addition, since an iterative scaling scheme could define a new renormalizing method, we argue about using our scheme for Wilsonian renormalization group theory for general complex networks and its application to analyzing the dynamics of complex networks.