HAUSDORFF DIMENSION OF A FAMILY OF NETWORKS

被引：6

作者：

Zeng, Qingcheng ^{[1
]}

Xi, Lifeng ^{[1
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fractal Network; Dimension; Touching Networks; SELF-SIMILARITY; FRACTALITY;

D O I：

10.1142/S0218348X23500160

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a family of networks {G(n)}n >= 1, we define the Hausdorff dimension of {G(n)}n >= 1 inspired by the Frostman's characteristics of potential for Hausdorff dimension of fractals on Euclidean spaces. We prove that our Hausdorff dimension of the touching networks is log m/log N. Our definition is quite different from the fractal dimension defined for real-world networks.

引用

页数：10

共 20 条

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