JZUS - Journal of Zhejiang University SCIENCE

Frontiers of Information Technology & Electronic Engineering

Accepted manuscript available online (unedited version)

An optimized formula for the two-point resistance of a cobweb resistance network and its potential application

Author(s): Yu GUAN, Xiaoyu JIANG, Yanpeng ZHENG, Zhaolin JIANG
Affiliation(s): School of Information Science and Engineering, Linyi University, Linyi 276000, China; more
Corresponding email(s): jxy19890422@sina.com, zhengyanpeng0702@sina.com
Key Words: Resistance network; Equivalent resistance; Potential function; Chebyshev polynomials; Path planning

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Yu GUAN, Xiaoyu JIANG, Yanpeng ZHENG, Zhaolin JIANG. An optimized formula for the two-point resistance of a cobweb resistance network and its potential application[J]. Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/FITEE.2400613

@article{title="An optimized formula for the two-point resistance of a cobweb resistance network and its potential application",
author="Yu GUAN, Xiaoyu JIANG, Yanpeng ZHENG, Zhaolin JIANG",
journal="Frontiers of Information Technology & Electronic Engineering",
year="in press",
publisher="Zhejiang University Press & Springer",
doi="https://doi.org/10.1631/FITEE.2400613"
}

%0 Journal Article
%T An optimized formula for the two-point resistance of a cobweb resistance network and its potential application
%A Yu GUAN
%A Xiaoyu JIANG
%A Yanpeng ZHENG
%A Zhaolin JIANG
%J Frontiers of Information Technology & Electronic Engineering
%P
%@ 2095-9184
%D in press
%I Zhejiang University Press & Springer
doi="https://doi.org/10.1631/FITEE.2400613"

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T1 - An optimized formula for the two-point resistance of a cobweb resistance network and its potential application
A1 - Yu GUAN
A1 - Xiaoyu JIANG
A1 - Yanpeng ZHENG
A1 - Zhaolin JIANG
J0 - Frontiers of Information Technology & Electronic Engineering
SP -
EP -
%@ 2095-9184
Y1 - in press
PB - Zhejiang University Press & Springer
ER -
doi="https://doi.org/10.1631/FITEE.2400613"

Abstract
Chinese Summary
Academic Network
Reviewer Comment

Abstract: In recent years, the exploration and application of resistance networks have expanded significantly, and solving the equivalent resistance between two points of a resistance network has been an important topic. In this paper, we focus on optimizing the formula for calculating the two-point resistance of an m × n cobweb resistance network with 2r boundary conditions. To improve the computational efficiency of the equivalent resistance between two points, the formula is optimized by using the optimal approximation property of Chebyshev polynomials in combination with hyperbolic functions, and the derivation process is simplified. We discussed the equivalent resistance formulas in several special cases and compared the computational efficiency of the equivalent resistance formulas before and after optimization. Finally, we made an innovative attempt of path planning through potential formulas and proposed a heuristic algorithm based on cobweb potential function for robot path planning in a cobweb environment with obstacles.

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