Star coloring planar graphs from small lists
نویسندگان
چکیده
A star coloring of a graph is a proper vertex-coloring such that no path on four vertices is 2-colored. We prove that the vertices of every planar graph of girth 6 (respectively 7,8) can be star colored from lists of size 8 (respectively 7,6). We give an example of a planar graph of girth 5 that requires 6 colors to star color.
منابع مشابه
Star coloring bipartite planar graphs
A star coloring of a graph is a proper vertex-coloring such that no path on four vertices is 2-colored. We prove that the vertices of every bipartite planar graph can be star colored from lists of size 14, and we give an example of a bipartite planar graph that requires at least 8 colors to star color.
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 63 شماره
صفحات -
تاریخ انتشار 2010