Small-world and scale-free effects of complex networks generated by a self-similar fractal

Qingcheng Zeng (), Keqin Cui (), Wenjia Ma () and Lifeng Xi
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Qingcheng Zeng: 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
Wenjia Ma: 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

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 08, 1-14

Abstract: In this paper, we construct a class of growing networks by the encoding method of the iterated function system based on a planar self-similar fractal, and demonstrate that the networks have small-world and scale-free effects.

Keywords: Fractal networks; scale-free; small-world (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123501097

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