• Title of article

    The number of independent sets in unicyclic graphs Original Research Article

  • Author/Authors

    Anders Sune Pedersen، نويسنده , , Preben Dahl Vestergaard، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    11
  • From page
    246
  • To page
    256
  • Abstract
    In this paper, we determine upper and lower bounds for the number of independent sets in a unicyclic graph in terms of its order. This gives an upper bound for the number of independent sets in a connected graph which contains at least one cycle. We also determine the upper bound for the number of independent sets in a unicyclic graph in terms of order and girth. In each case, we characterize the extremal graphs.
  • Keywords
    Unicyclic graphs , Bounds , Fibonacci numbers , Independent sets
  • Journal title
    Discrete Applied Mathematics
  • Serial Year
    2005
  • Journal title
    Discrete Applied Mathematics
  • Record number

    886163