Average trapping time of weighted scale-free m -triangulation networks
Bo Wu, Yingying Chen, Zhizhuo Zhang, Weiyi Su · Journal of Statistical Mechanics Theory and Experiment · 2019
Abstract This paper investigates the average trapping time (ATT) on weighted scale-free m -triangulation networks. ATT is the mean of the first-passage time from any node to the trap fixed at a hub node over the entire network. Based on the structural properties of weighted scale-free m -triangulation networks, we deduce the accurate expression of ATT for weight-dependent walk. The result shows that the scaling expression of ATT with network size obeys a power-law function with exponent characterized by the weight factor r and the growth factor m . Further, we find that the parameters r and m have a significant impact on the diffusion efficiency of the network, namely, the smaller r and m are, the more efficient the trapping process of the network is.