Star list chromatic number of planar subcubic graphs

Min Chen (), André Raspaud () and Weifan Wang ()
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Min Chen: Zhejiang Normal University
André Raspaud: Université Bordeaux I
Weifan Wang: Zhejiang Normal University

Journal of Combinatorial Optimization, 2014, vol. 27, issue 3, No 2, 440-450

Abstract: Abstract A proper coloring of the vertices of a graph G is called a star-coloring if the union of every two color classes induces a star forest. The graph G is L-star-colorable if for a given list assignment L there is a star-coloring π such that π(v)∈L(v). If G is L-star-colorable for any list assignment L with |L(v)|≥k for all v∈V(G), then G is called k-star-choosable. The star list chromatic number of G, denoted by $\chi_{s}^{l}(G)$ , is the smallest integer k such that G is k-star-choosable. In this paper, we prove that every planar subcubic graph is 6-star-choosable.

Keywords: Planar subcubic graph; List star coloring; In-coloring; Orientation (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10878-012-9522-7

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