Asymptotic formula on average path length of fractal networks modeled on Sierpinski gasket

作者:Gao, Fei; Le, Anbo; Xi, Lifeng*; Yin, Shuhua
来源:Journal of Mathematical Analysis and Applications, 2016, 434(2): 1581-1596.
DOI:10.1016/j.jmaa.2015.10.001

摘要

In this paper, we introduce a new method to construct evolving networks based on the construction of the Sierpinski gasket. Using self-similarity and renewal theorem, we obtain the asymptotic formula for average path length of our evolving networks.