• DocumentCode
    1168630
  • Title

    Graph theoretical properties of the node determinant of an LCR network

  • Author

    Kajitani, Yoji

  • Volume
    18
  • Issue
    3
  • fYear
    1971
  • fDate
    5/1/1971 12:00:00 AM
  • Firstpage
    343
  • Lastpage
    350
  • Abstract
    The node determinant \\Sigma A_{k} \\Lambda ^{k} of an LCR network is given by the sum of the products of the element admittances of all the trees of the network. Some graph theoretical properties of the coefficients {A_{k}} are investigated where each A_{k} is represented as a function of the element values. The main results include the theorem that any three successive coefficients A_{k}, A_{k+1} , and A_{k+2} completely determine the network.
  • Keywords
    Network topology; Admittance; Artificial intelligence; Capacitors; Conductors; Frequency; Helium; Inductors; Network theory (graphs); Network topology; Tree graphs;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1971.1083291
  • Filename
    1083291
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1168630