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Three Properties Of Fractal Networks Based On Bedford–Mcmullen Carpet

Author

Listed:
  • JIAN ZHENG

    (School of Mathematical Science, Beihang University, Beijing 100191, P. R. China)

  • CHENG ZENG

    (��School of Mathematics and Information Science, Shandong Technology and Business University, Yantai, Shandong Province, 264003, P. R. China)

  • YUMEI XUE

    (School of Mathematical Science, Beihang University, Beijing 100191, P. R. China)

  • XIAOHAN LI

    (School of Mathematical Science, Beihang University, Beijing 100191, P. R. China)

Abstract

In this paper, we consider the networks modeled by several self-affine sets based on the Bedford–Mcmullen carpet. We calculate three properties of the networks, including the cumulative degree distribution, the average clustering coefficient and the average path length. We show that such networks have scale-free and small-world effects.

Suggested Citation

  • Jian Zheng & Cheng Zeng & Yumei Xue & Xiaohan Li, 2024. "Three Properties Of Fractal Networks Based On Bedford–Mcmullen Carpet," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:02:n:s0218348x24500324
    DOI: 10.1142/S0218348X24500324
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