• Title of article

    Fraternal augmentations, arrangeability and linear Ramsey numbers

  • Author/Authors

    Ne?et?il، نويسنده , , Jaroslav and Ossona de Mendez، نويسنده , , Patrice، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    8
  • From page
    1696
  • To page
    1703
  • Abstract
    We relate the notions of arrangeability and admissibility to bounded expansion classes and prove that these notions can be characterized by ∇ 1 ( G ) . (The Burr–Erdős conjecture relates to ∇ 0 ( G ) .) This implies the linearity of the Ramsey number and the bounded game chromatic number for some new classes of graphs.
  • Journal title
    European Journal of Combinatorics
  • Serial Year
    2009
  • Journal title
    European Journal of Combinatorics
  • Record number

    1550258