Journal of Mathematical Chemistry

, Volume 12, Issue 1, pp 81–95

Resistance distance

  • D. J. Klein
  • M. Randić

DOI: 10.1007/BF01164627

Cite this article as:
Klein, D.J. & Randić, M. J Math Chem (1993) 12: 81. doi:10.1007/BF01164627


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.

Copyright information

© Baltzer AG, Science Publishers 1993

Authors and Affiliations

  • D. J. Klein
    • 1
  • M. Randić
    • 2
  1. 1.Department of Marine SciencesTexas A&M University at GalvestonTXGalvestonUSA
  2. 2.Department of MathematicsDrake UniversityIADes MoinesUSA

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