• Title of article

    The ultimate categorical matching in a graph Original Research Article

  • Author/Authors

    Michael H. Albert، نويسنده , , Derek Holton، نويسنده , , Richard J. Nowakowski، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    9
  • From page
    1
  • To page
    9
  • Abstract
    Let m(G) denote the number of vertices covered by a maximum matching in a graph G. We introduce m∗(G)=limn→∞m(Gn)1/n where the categorical graph product is used. We show that m∗(Ka,b)=2ab. Moreover, if G is bipartite, with parts A and B, has a matching which saturates A and A×B∪B×A has a perfect matching, then m∗G=2|A||B|.
  • Keywords
    Ultimate categorical matching , Matching , Bipartite
  • Journal title
    Discrete Mathematics
  • Serial Year
    2001
  • Journal title
    Discrete Mathematics
  • Record number

    949608