• Title of article

    Almost All 3-Connected Graphs Contain a Contractible Set of k Vertices

  • Author/Authors

    Kriesell، نويسنده , , Matthias، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    15
  • From page
    305
  • To page
    319
  • Abstract
    McCuaig and Ota conjectured that every sufficiently large 3-connected graph G contains a connected subgraph H on k vertices such that G−V(H) is 2-connected. We prove the weaker statement that every sufficiently large 3-connected graph G contains a not necessarily connected subgraph H on k vertices such that G−V(H) is 2-connected.
  • Keywords
    Longest induced path , connectivity , Reduction , longest cycle , contractable subgraph
  • Journal title
    Journal of Combinatorial Theory Series B
  • Serial Year
    2001
  • Journal title
    Journal of Combinatorial Theory Series B
  • Record number

    1526916