K-forested Choosability of Graphs with Bounded Maximum Average Degree

نویسندگان

  • Xin Zhang
  • Guizhen Liu
  • Jian-Liang Wu
چکیده

A proper vertex coloring of a simple graph is k-forested if the graph induced by the vertices of any two color classes is a forest with maximum degree less than k. A graph is k-forested qchoosable if for a given list of q colors associated with each vertex v, there exists a k-forested coloring of G such that each vertex receives a color from its own list. In this paper, we prove that the k-forested choosability of a graph with maximum degree ∆ ≥ k ≥ 4 is at most

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عنوان ژورنال:
  • CoRR

دوره abs/1102.3987  شماره 

صفحات  -

تاریخ انتشار 2011