TWO TYPES OF ECCENTRICITY SUMS AND GEODESICS SUM FOR SIERPIŃSKI GASKET

Xiaohan Li (), Xiangyu Liang (), Cheng Zeng and Yumei Xue ()
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Xiaohan Li: School of Mathematical Sciences, Beihang University, Beijing 100083, P. R. China
Xiangyu Liang: School of Mathematical Sciences, Beihang University, Beijing 100083, 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 100083, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 05, 1-10

Abstract: The aim of this paper is to derive the exact formulas for the sum of three indices, eccentricity, Fermat eccentricity and geodesics number, on the skeleton network of Sierpiński gasket. We will calculate the eccentricity sum and Fermat eccentricity sum of Sierpiński gasket by a particular decomposition strategy. And we study the geodesics sum with the technique of finite types. These three sums can verify their corresponding mean values from discrete perspective and reveal some structure properties of Sierpiński gasket.

Keywords: Fractal Network; Sierpiński Gasket; Eccentricity; Geodesic Distance; Self-Similarity (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500446

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