• DocumentCode
    1381531
  • Title

    The misapplication of graph theory to electric networks

  • Author

    Kron, Gabriel

  • Author_Institution
    General Electric Company, Schenectady, N. Y.
  • Volume
    81
  • Issue
    4
  • fYear
    1962
  • Firstpage
    257
  • Lastpage
    267
  • Abstract
    Graph theory offers a false and misleading model for an electric network, a tearable orthogonal structure possessing branches only, and no nodes or planes. The unnecessary introduction of nodes and an avalanche of meaningless matrices is a smoke screen to hide the use of tensors, whose appearance is imperative and inescapable. During their analysis, graph theorists must always necessarily return by some legerdemain to the correct tensorial branch theory, which however is camouflaged with a misfit graph terminology.
  • Keywords
    Current; Electricity; Graph theory; Materials; Tensile stress; Topology; Transmission line matrix methods;
  • fLanguage
    English
  • Journal_Title
    American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the
  • Publisher
    ieee
  • ISSN
    0097-2452
  • Type

    jour

  • DOI
    10.1109/TCE.1962.6373133
  • Filename
    6373133