Comparison of methods to determine point-to-point resistance in nearly rectangular networks with application to a ‘hammock’ network

J. W. Essam, Nikolay I. Izmailyan, Ralph Kenna, Z.-Z. Tan

    Research output: Contribution to journalArticle

    27 Citations (Scopus)
    15 Downloads (Pure)

    Abstract

    Considerable progress has recently been made in the development of techniques to exactly determine two-point resistances in networks of various topologies. In particular, two types of method have emerged. One is based on potentials and the evaluation of eigenvalues and eigenvectors of the Laplacian matrix associated with the network or its minors. The second method is based on a recurrence relation associated with the distribution of currents in the network. Here, these methods are compared and used to determine the resistance distances between any two nodes of a network with topology of a hammock.
    Original languageEnglish
    Pages (from-to)140420
    JournalRoyal Society Open Science
    Volume2
    DOIs
    Publication statusPublished - 29 Apr 2015

    Bibliographical note

    Under a Creative Commons Attribution 4.0 International licence

    Keywords

    • resistance
    • resistor network
    • hammock

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