COMPLEX NETWORKS GENERATED BY A SELF-SIMILAR PLANAR FRACTAL

Qin Wang (), Wenjia Ma (), Keqin Cui (), Qingcheng Zeng () and Lifeng Xi
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Qin Wang: College of Big Data and Software Engineering, Zhejiang Wanli University, Ningbo 315100, P. R. China
Wenjia Ma: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China
Keqin Cui: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China
Qingcheng Zeng: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China
Lifeng Xi: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 03, 1-7

Abstract: Many complex networks have scale-free and small-world effects. In this paper, a family of evolving networks is constructed modeled by a non-symmetric self-similar planar fractal, using the encoding method in fractal geometry. Based on the self-similar structure, we study the degree distribution, clustering coefficient and average path length of our evolving network to verify their scale-free and small-world characteristics.

Keywords: Fractal Network; Scale-Free; Small-World; Encoding (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500646

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