Bounds For Partial List Colourings

نویسندگان

  • Ruth Haas
  • Denis Hanson
  • Gary MacGillivray
چکیده

Let G be a simple graph on n vertices with list chromatic number χl = s. If each vertex of G is assigned a list of t colours Albertson, Grossman and Haas [1] asked how many of the vertices, λ t,s, are necessarily colourable from these lists? They conjectured that λt,s ≥ tn/s. Their work was extended by Chappell [2]. We improve the known lower bounds for λt,s. Primary AMS subject classification: 05C15

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عنوان ژورنال:
  • Ars Comb.

دوره 67  شماره 

صفحات  -

تاریخ انتشار 2003