• Title of article

    Asymptotically optimal frugal colouring

  • Author/Authors

    Molloy، نويسنده , , Michael and Reed، نويسنده , , Bruce، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    21
  • From page
    226
  • To page
    246
  • Abstract
    We prove that every graph with maximum degree Δ can be properly ( Δ + 1 ) -coloured so that no colour appears more than O ( log Δ / log log Δ ) times in the neighbourhood of any vertex. This is best possible up to the constant multiple in the O ( − ) term.
  • Journal title
    Journal of Combinatorial Theory Series B
  • Serial Year
    2010
  • Journal title
    Journal of Combinatorial Theory Series B
  • Record number

    1528027