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Resistance distance

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Abstract

The theory of resistive electrical networks is invoked to develop a novel view: if fixed resistors are assigned to each edge of a connected graph, then the effective resistance between pairs of vertices is a graphical distance. Several theorems concerning this novel distance function are established.

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Authors and Affiliations

  1. Department of Marine Sciences, Texas A&M University at Galveston, 77553-1675, TX, Galveston, USA

    D. J. Klein

  2. Department of Mathematics, Drake University, 50311, IA, Des Moines, USA

    M. Randić

Authors
  1. D. J. Klein
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  2. M. Randić
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Additional information

Research supported by the Robert A. Welch Foundation of Houston, Texas, TX, USA.

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Klein, D.J., Randić, M. Resistance distance. J Math Chem 12, 81–95 (1993). https://doi.org/10.1007/BF01164627

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  • DOI: https://doi.org/10.1007/BF01164627

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