• DocumentCode
    754762
  • Title

    Bounds on the Number of Possible Distinct Networks

  • Author

    Nesenbergs, Martin

  • Author_Institution
    Inst. for Telecommunication Sciences, Boulder, CO
  • Volume
    26
  • Issue
    8
  • fYear
    1978
  • fDate
    8/1/1978 12:00:00 AM
  • Firstpage
    1315
  • Lastpage
    1316
  • Abstract
    This note is concerned with the number of all distinct networks, also called connected graphs, or Cayley, or linear graphs that are possible for n given nodes. Since for any practical number of nodes an explicit enumeration appears difficult, if not impossible, we offer an improved lower bound that enables tight approximation for n reasonably large.
  • Keywords
    Graph theory; Communications Society; Telecommunication computing; Telecommunication network topology; Tree graphs; US Department of Commerce; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOM.1978.1094222
  • Filename
    1094222