HAUSDORFF DIMENSION OF A CLASS OF COLORED SUBSTITUTION NETWORKS

Qingcheng Zeng () and Yumei Xue
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Qingcheng Zeng: School of Mathematical Sciences, Beihang University, Beijing 100083, P. R. China
Yumei Xue: School of Mathematical Sciences, Beihang University, Beijing 100083, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 01, 1-7

Abstract: In 2023, Xi et al. introduced the Hausdorff dimension of a family of networks which inspired by the potential theoretic methods in fractal geometry. In this paper, we will construct a class of colored substitution networks and obtain its Hausdorff dimension using the self-similarity.

Keywords: Fractal; Dimension; Substitution Networks (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500069

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