https://doi.org/10.1140/epjp/s13360-025-07248-2
Regular Article
Electrical characteristics of a quasi globe network
School of Information Science and Technology, Nantong University, 226019, Nantong, China
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Received:
7
November
2025
Accepted:
20
December
2025
Published online:
21
January
2026
Abstract
The problem of solving the electric potential and equivalent resistance for circuit network has been an important research topic for many years. However, some resistor networks with special structures have not been studied, such as the quasi globe network (QGN). This article uses RT-I (Recursion-Transform based on current parameters) theory to study the electrical properties of a class of m × n QGN, achieving new research progress. The analytical expressions for its potential function and equivalent resistance between any two nodes are given, and 3D visualization was carried out to intuitively reveal the changes in their electrical characteristics. The RT-I theory consists of five steps, with the main steps being the establishment and solution of matrix equations, and the key issue being the construction of matrix transformations and inverse transformations, this article has made new research results in this problem. The results can provide a theoretical tool for researchers to analyze and study LC networks and fractional circuit networks, and provides a theoretical foundation for related engineering applications and fast algorithms for potential functions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
