• Title of article

    Graphs with large maximum degree containing no odd cycles of a given length

  • Author/Authors

    Balister، نويسنده , , Paul and Bollobلs، نويسنده , , Béla and Riordan، نويسنده , , Oliver and Schelp، نويسنده , , Richard H.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    8
  • From page
    366
  • To page
    373
  • Abstract
    Let us write f(n,Δ;C2k+1) for the maximal number of edges in a graph of order n and maximum degree Δ that contains no cycles of length 2k+1. For n2⩽Δ⩽n−k−1 and n sufficiently large we show that f(n,Δ;C2k+1)=Δ(n−Δ), with the unique extremal graph a complete bipartite graph.
  • Journal title
    Journal of Combinatorial Theory Series B
  • Serial Year
    2003
  • Journal title
    Journal of Combinatorial Theory Series B
  • Record number

    1527188