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RESISTANCE DISTANCES IN SKELETON NETWORKS OF SIERPINSKI HEXAGON.

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Název: RESISTANCE DISTANCES IN SKELETON NETWORKS OF SIERPINSKI HEXAGON.
Autoři: FAN, JIAQI1 (AUTHOR) fdd235tt@gmail.com, FANG, ZENGHUI2 (AUTHOR) 1051625606@qq.com, HU, KEMAN3 (AUTHOR) hukeman@nbpt.edu.cn
Zdroj: Fractals. Aug2025, p1. 14p.
Témata: *FRACTALS, *ELECTRIC network topology, *GRAPH theory, *ITERATIVE methods (Mathematics), *MATHEMATICAL functions
Abstrakt: The aim of this paper is to establish a method to calculate resistance distances in skeleton networks of the classical Sierpinski hexagon fractal. The recursion formula is obtained through the induction on basic network pattern. Then with this formula, we give a method for computing resistance distances between any node pairs of the Sierpinski hexagon networks. Finally, we give some examples to demonstrate the applications of this method. [ABSTRACT FROM AUTHOR]
Databáze: Academic Search Index
Popis
Abstrakt:The aim of this paper is to establish a method to calculate resistance distances in skeleton networks of the classical Sierpinski hexagon fractal. The recursion formula is obtained through the induction on basic network pattern. Then with this formula, we give a method for computing resistance distances between any node pairs of the Sierpinski hexagon networks. Finally, we give some examples to demonstrate the applications of this method. [ABSTRACT FROM AUTHOR]
ISSN:0218348X
DOI:10.1142/s0218348x2550104x