ASYMPTOTIC FORMULA OF AVERAGE DISTANCES ON FRACTAL NETWORKS MODELED BY SIERPINSKI TETRAHEDRON

被引：19

作者：

Ding, Juan ^{[1
]}

Wang, Qin ^{[2
]}

机构：

[1] ShenZhen Univ, Dept Math, Shenzhen 518000, Guangdong, Peoples R China

[2] Zhejiang Wanli Univ, Dept Software Engn, Ningbo 315100, Zhejiang, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2019年 / 27卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Fractal; Self-Similarity; Sierpinski Tetrahedron; Geodesic Distance; Renewal Theorem; SMALL-WORLD;

D O I：

10.1142/S0218348X19501202

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the average distances of evolving networks modeled by Sierpinski tetrahedron. We express the limit of average distances on reorganized networks as an integral of geodesic distance on Sierpinski tetrahedron. Based on the self-similarity and renewal theorem, we obtain the asymptotic formula on the average distance of our evolving networks.

引用

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