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Average Distances Of A Family Of Pcf Self-Similar Networks

Jiaqi Fan,Jiangwen Gu,Lifeng Xi,Qin Wang

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY（2020）

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Abstract
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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Key words
Fractal Network, Average Distance, Finite Pattern
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