• Title of article

    Large minors in graphs with given independence number

  • Author/Authors

    Balogh، نويسنده , , Jَzsef and Kostochka، نويسنده , , A.V.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    13
  • From page
    2203
  • To page
    2215
  • Abstract
    A weakening of Hadwiger’s conjecture states that every n -vertex graph with independence number α has a clique minor of size at least n α . Extending ideas of Fox (2010) [6], we prove that such a graph has a clique minor with at least n ( 2 − c ) α vertices where c > 1 / 19.2 .
  • Keywords
    Hadwiger’s conjecture , Clique minor , independence number
  • Journal title
    Discrete Mathematics
  • Serial Year
    2011
  • Journal title
    Discrete Mathematics
  • Record number

    1599723