NODE-WEIGHTED AVERAGE FERMAT DISTANCES OF FRACTAL TREE NETWORKS

Chen Chen (), Ying Ma () and Lifeng Xi
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Chen Chen: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China
Ying Ma: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China
Lifeng Xi: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-9

Abstract: In this paper, we investigate a class of self-similar networks modeled on a self-similar fractal tree, and use the self-similar measure and the method of finite pattern to obtain the asymptotic formula of node-weighted average Fermat distances on fractal tree networks.

Keywords: Self-Similar Fractal; Average Fermat Distance; Finite Pattern (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500256

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