Role of fractal dimension in random walks on scale-free networks

Role of fractal dimension in random walks on scale-free networks: Fractal dimension is central to understanding dynamical processes occurring on networks; however, the relation between fractal dimension and random walks on fractal scale-free networks has been rarely addressed, despite the fact that such networks are ubiquitous in real-life world. In this paper, we study the trapping problem on two families of networks.