THREE PROPERTIES OF FRACTAL NETWORKS BASED ON BEDFORD–MCMULLEN CARPET

Jian Zheng (), Cheng Zeng (), Yumei Xue and Xiaohan Li ()
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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

FRACTALS (fractals), 2024, vol. 32, issue 02, 1-14

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.

Keywords: Self-Similar; Bedford–Mcmullen Set; Fractal Networks; Average Path Length (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500324

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