FRACTAL NETWORKS ON DÃœRER-TYPE POLYGON

Yuke Huang (), Hanxiong Zhang and Yumei Xue ()
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Yuke Huang: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China
Hanxiong Zhang: School of Science, China University of Mining and Technology – Beijing, Beijing 100083, P. R. China
Yumei Xue: School of Mathematics and System Science, Beihang University, 100191, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 04, 1-13

Abstract: Dürer’s pentagon is known to the artist Albrecht Dürer. In this paper, we consider directed networks generated by Dürer-type polygons. We aim to present a study on some properties of these networks, such as degree distribution, clustering coefficient and average path length. We show that such networks have the scale-free effect, but do not have the small-world effect.

Keywords: Fractal; Degree Distribution; Clustering Coefficient; Average Path Length (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21500900

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