• Title of article

    Packing cycles in complete graphs

  • Author/Authors

    Bryant، نويسنده , , Darryn and Horsley، نويسنده , , Daniel، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2008
  • Pages
    24
  • From page
    1014
  • To page
    1037
  • Abstract
    We introduce a new technique for packing pairwise edge-disjoint cycles of specified lengths in complete graphs and use it to prove several results. Firstly, we prove the existence of dense packings of the complete graph with pairwise edge-disjoint cycles of arbitrary specified lengths. We then use this result to prove the existence of decompositions of the complete graph of odd order into pairwise edge-disjoint cycles for a large family of lists of specified cycle lengths. Finally, we construct new maximum packings of the complete graph with pairwise edge-disjoint cycles of uniform length.
  • Keywords
    Graph packing , Graph decompositions , Cycle decompositions
  • Journal title
    Journal of Combinatorial Theory Series B
  • Serial Year
    2008
  • Journal title
    Journal of Combinatorial Theory Series B
  • Record number

    1528744