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Resistances between two nodes of a path network

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  • Jiang, Zhuozhuo
  • Yan, Weigen

Abstract

Considerable progress has recently been made in the development of techniques to exactly determine two-point resistances in networks of various topologies. Given n positive integers m1,m2,…,mn, let P[mi]1n be the network with node set V=V1∪V2∪…∪Vn, where Vi∩Vj=∅ if i ≠ j and |Vi|=mi, and with edge set E={uv|u∈Vi,v∈Vi+1,i=1,2,…,n−1}. In this paper, using triangle-star transformation and the principle of substitution, we express arbitrary two nodes resistances of a path network in terms of the number of their nodes.

Suggested Citation

  • Jiang, Zhuozhuo & Yan, Weigen, 2019. "Resistances between two nodes of a path network," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 42-46.
    • Handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:42-46
    DOI: 10.1016/j.amc.2019.05.006
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    References listed on IDEAS

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    1. Jiang, Zhuozhuo & Yan, Weigen, 2017. "Resistance between two nodes of a ring network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 21-26.
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