• DocumentCode
    1162120
  • Title

    The Number of Trees in a Network

  • Author

    O´Neil, P.V. ; Slepian, P.

  • Volume
    13
  • Issue
    3
  • fYear
    1966
  • fDate
    9/1/1966 12:00:00 AM
  • Firstpage
    271
  • Lastpage
    281
  • Abstract
    In this paper we exhibit an explicit formula for the number of trees in a certain type of network. In particular, we define, in Definition 3, the concept of an incompletely partitioned network, and offer in Theorem 9 a formula for the number of trees of an incompletely partitioned network. Our formulas include, as special cases, the formulas exhibited previously in the literature by Weinberg [1] and Bedrosian [2].
  • Keywords
    Circuit synthesis; Circuit theory; Circuits and systems; Eigenvalues and eigenfunctions; Joining processes; Mathematics; National electric code; Network synthesis; Passive networks; Tree graphs;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1966.1082611
  • Filename
    1082611
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1162120