Scaling of disordered recursive scale-free networksLiang Tian and Da-Ning Shi
College of Science, Nanjing University of Aeronautics and Astronautics - Nanjing, 210016, PRC
received 3 May 2008; accepted in final form 21 October 2008; published December 2008
published online 24 November 2008
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.
89.75.Hc - Networks and genealogical trees.
87.23.Ge - Dynamics of social systems.
89.65.-s - Social and economic systems.
© EPLA 2008