The adaptable choosability number grows with the choosability number

نویسندگان

  • Michael Molloy
  • Giovanna Thron
چکیده

The adaptable choosability number of a multigraph G, denoted cha(G), is the smallest integer k such that every edge labeling of G and assignment of lists of size k to the vertices of G permits a list coloring of G in which no edge e = uv has both u and v colored with the label of e. We show that cha grows with ch, i.e. there is a function f tending to infinity such that cha(G) ≥ f(ch(G)).

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عنوان ژورنال:
  • Discrete Mathematics

دوره 311  شماره 

صفحات  -

تاریخ انتشار 2011