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Hausdorff Dimension Of A Class Of Colored Substitution Networks

Author

Listed:
  • 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)

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.

Suggested Citation

  • Qingcheng Zeng & Yumei Xue, 2025. "Hausdorff Dimension Of A Class Of Colored Substitution Networks," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-7.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:01:n:s0218348x25500069
    DOI: 10.1142/S0218348X25500069
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