FRACTAL DIMENSION OF SUBSTITUTION TREE NETWORKS

Qingcheng Zeng; Yumei Xue; Daohua Wang; Ying Miao

doi:10.1142/S0218348X25501129

FRACTAL DIMENSION OF SUBSTITUTION TREE NETWORKS

Qingcheng Zeng
, Yumei Xue^*
, Daohua Wang
, Ying Miao

^*此作品的通讯作者

数学科学学院

Beihang University
Xidian University
University of Tsukuba

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Substitution networks can be constructed inductively based on multiple colored initial graphs. In this paper, we obtain a relationship between the row sums of power of a nonnegative matrix and its spectral radius. Furthermore, we investigate the substitution networks with colored initial directed trees and obtain their Hausdorff dimensions introduced by Xi et al.

源语言	英语
文章编号	2550112
期刊	Fractals
卷	34
期	1
DOI	https://doi.org/10.1142/S0218348X25501129
出版状态	已出版 - 2026

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10.1142/S0218348X25501129

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title = "FRACTAL DIMENSION OF SUBSTITUTION TREE NETWORKS",

abstract = "Substitution networks can be constructed inductively based on multiple colored initial graphs. In this paper, we obtain a relationship between the row sums of power of a nonnegative matrix and its spectral radius. Furthermore, we investigate the substitution networks with colored initial directed trees and obtain their Hausdorff dimensions introduced by Xi et al.",

keywords = "Dimension, Fractal, Substitution Networks",

author = "Qingcheng Zeng and Yumei Xue and Daohua Wang and Ying Miao",

note = "Publisher Copyright: {\textcopyright} 2026 World Scientific Publishing Company.",

year = "2026",

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T1 - FRACTAL DIMENSION OF SUBSTITUTION TREE NETWORKS

AU - Zeng, Qingcheng

AU - Xue, Yumei

AU - Wang, Daohua

AU - Miao, Ying

PY - 2026

Y1 - 2026

N2 - Substitution networks can be constructed inductively based on multiple colored initial graphs. In this paper, we obtain a relationship between the row sums of power of a nonnegative matrix and its spectral radius. Furthermore, we investigate the substitution networks with colored initial directed trees and obtain their Hausdorff dimensions introduced by Xi et al.

AB - Substitution networks can be constructed inductively based on multiple colored initial graphs. In this paper, we obtain a relationship between the row sums of power of a nonnegative matrix and its spectral radius. Furthermore, we investigate the substitution networks with colored initial directed trees and obtain their Hausdorff dimensions introduced by Xi et al.

KW - Dimension

KW - Fractal

KW - Substitution Networks

UR - https://www.scopus.com/pages/publications/105020638184

U2 - 10.1142/S0218348X25501129

DO - 10.1142/S0218348X25501129

M3 - 文章

AN - SCOPUS:105020638184

SN - 0218-348X

VL - 34

JO - Fractals

JF - Fractals

IS - 1

M1 - 2550112

ER -

FRACTAL DIMENSION OF SUBSTITUTION TREE NETWORKS

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