NODE-WEIGHTED AVERAGE DISTANCES OF NETWORKS MODELED ON THREE-DIMENSIONAL VICSEK FRACTAL

Lei Lei (), Ying Ma (), Chen Chen (), Qi Jia (), Yuanyuan Li () and Lifeng Xi
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Lei Lei: 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
Chen Chen: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China
Qi Jia: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China
Yuanyuan Li: 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), 2021, vol. 29, issue 04, 1-6

Abstract: We investigate a class of self-similar networks modeled on the three-dimensional Vicsek fractal, and obtain the asymptotic formula of node-weighted average geodesic distances, which is an integral of geodesic distance in terms of the self-similar measure.

Keywords: Fractal Network; Average Geodesic Distance; Self-Similar Measure (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21500948

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