an:06876898
Zbl 1390.28021
Peng, Junhao; Agliari, Elena
Scaling laws for diffusion on (trans)fractal scale-free networks
EN
Chaos 27, No. 8, 083108, 14 p. (2017).
00402106
2017
j
28A80 90B10 05C81
Summary: Fractal (or transfractal) features are common in real-life networks and are known to influence the dynamic processes taking place in the network itself. Here, we consider a class of scale-free deterministic networks, called \((u, v)\)-flowers, whose topological properties can be controlled by tuning the parameters \(u\) and \(v\); in particular, for \(u>1\), they are fractals endowed with a fractal dimension df, while for \(u = 1\), they are transfractal endowed with a transfractal dimension \(\widetilde{d}_f\). In this work, we investigate dynamic processes (i.e., random walks) and topological properties (i.e., the Laplacian spectrum) and we show that, under proper conditions, the same scalings (ruled by the related dimensions) emerge for both fractal and transfractal dimensions.{
\copyright 2017 American Institute of Physics}