Scaling of disordered recursive scale-free networks

College of Science, Nanjing University of Aeronautics and Astronautics - Nanjing, 210016, PRC

Corresponding authors: tianliang@nuaa.edu.cn shi@nuaa.edu.cn

Received: 3 May 2008
Accepted: 21 October 2008

Abstract

In this paper, we present a solvable model of disordered recursive scale-free networks. The structure, fractality, and dimensionality are studied theoretically and numerically, which are shown to be totally different from those in ordered recursive networks. The transfinite fractal (transfractal) dimension, which is recently introduced to distinguish the structural differences between the networks with infinite dimension, exhibits an interesting scaling behavior. We also investigate the diffusion process on this family of networks, and it is found that the transfractal dimension can identify detailed scaling behavior of diffusion dynamics on transfractal networks.