• DocumentCode
    1169809
  • Title

    Number of Spanning Trees in Multigraph Wheels

  • Author

    Bedrosian, Samuel D.

  • Volume
    19
  • Issue
    1
  • fYear
    1972
  • fDate
    1/1/1972 12:00:00 AM
  • Firstpage
    77
  • Lastpage
    78
  • Abstract
    Taking the graph called the wheel W_{n} as the join of K_{1} and C_{n} , we consider it along with three multigraph variations. A recursion formula for the number of spanning trees in W_{n}, T_{n} = 3T_{n-1}-T_{n-2} + 2 , and other pertinent formulas are presented. A related resistance network problem is also discussed briefly.
  • Keywords
    Network topology; Trees; Wheels; Tree graphs; Wheels;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1972.1083410
  • Filename
    1083410