FERMAT ECCENTRIC DISTANCE SUM OF EXTENDED VICSEK NETWORKS

Wenjie Wang (), Xiangyu Liang (), Cheng Zeng, Yumei Xue () and Lulu Peng ()
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Wenjie Wang: School of Mathematical Sciences, Beihang University, Beijing 10083, P. R. China
Xiangyu Liang: School of Mathematical Sciences, Beihang University, Beijing 10083, 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 Sciences, Beihang University, Beijing 10083, P. R. China
Lulu Peng: School of Mathematical Sciences, Beihang University, Beijing 10083, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 09, 1-10

Abstract: In this paper, we study Vicsek polygons and extended Vicsek networks, which are an extension of Vicsek fractal. Our research indices are some Fermat-type indices, including the Fermat eccentricity and the Fermat eccentric distance sum. Fermat-type indices are novel graph invariants with vast potential in research on structure–activity and quantitative structure–property. By the approach of finite pattern, we solve some integrals to gain their asymptotic formulas on Fermat eccentricity and Fermat eccentric distance sum.

Keywords: Fermat Eccentric Distance Sum; Fermat Eccentricity; Vicsek Polygon; Extended Vicsek Networks; Finite Pattern (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23501001

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