• Title of article

    Independence complexes of chordal graphs

  • Author/Authors

    Kawamura، نويسنده , , Kazuhiro، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    8
  • From page
    2204
  • To page
    2211
  • Abstract
    We show that the independence complex I ( G ) of an arbitrary chordal graph G is either contractible or is homotopy equivalent to the finite wedge of spheres of dimension at least the domination number of G minus 1. Also it is shown that every finite wedge of spheres (as well as a singleton) is realized as the homotopy type of the independence complex of a chordal graph. A combinatorial consequence is a verification of a conjecture due to Aharoni et al. [2, Conjecture 2.4] for chordal graphs.
  • Keywords
    chordal graph , Independence complex , homotopy
  • Journal title
    Discrete Mathematics
  • Serial Year
    2010
  • Journal title
    Discrete Mathematics
  • Record number

    1598332