AVERAGE DISTANCES OF LINDSTRoM SNOWFLAKE NETWORKS

被引：14

作者：

Zhao, Bing ^{[1
]}

Fan, Jiaqi ^{[1
]}

Xi, Lifeng ^{[2
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, Key Lab Comp & Stochast Math, Minist Educ, Changsha 410081, Hunan, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Fractal Network; Geodesic Metric; Geodesic Pattern; Dihedral Group; SCALE-FREE; EIGENTIME IDENTITY;

D O I：

10.1142/S0218348X21500675

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, for renormalized Lindstrom Snowflake networks, we discuss the geodesic metric of their limit space which is quite different from the Euclidean metric on the Lindstrom Snowflake. Using the dihedral group, we simplify the geodesic patterns and obtain 10,850 patterns and thus calculate the limit of average distances on renormalized Lindstrom Snowflake networks.

引用

页数：15

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