The two-point resistance of a resistor network: A new formulation and application to the cobweb network

Nikolay Izmailian, Ralph Kenna, F.Y. Wu

    Research output: Contribution to journalArticle

    52 Citations (Scopus)
    13 Downloads (Pure)

    Abstract

    We consider the problem of two-point resistance in a resistor network previously studied by one of us (Wu 2004 J. Phys. A: Math. Gen. 37 6653). By formulating the problem differently, we obtain a new expression for the two-point resistance between two arbitrary nodes which is simpler and can be easier to use in practice. We apply the new formulation to the cobweb resistor network to obtain the resistance between two nodes in the network. Particularly, our results prove a recently proposed conjecture on the resistance between the center node and a node on the network boundary. Our analysis also solves the spanning tree problem on the cobweb network.
    Original languageEnglish
    Article number035003
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume47
    Issue number3
    Early online date23 Dec 2013
    DOIs
    Publication statusPublished - 2014

    Keywords

    • mathematical physics
    • electronics and devices
    • instrumentation and measurement

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