AVERAGE DISTANCES OF A FAMILY OF P.C.F. SELF-SIMILAR NETWORKS

Jiaqi Fan, Jiangwen Gu, Lifeng Xi, Qin Wang · Fractals · 2020

In this paper, we discuss a family of p.c.f. self-similar fractal networks which have reflection transformations. We obtain the average geodesic distance on the corresponding fractal in terms of finite pattern of integrals. With these results, we also obtain the asymptotic formula for average distances of the skeleton networks.

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