A note on choosability with separation for planar graphs. (Q2716011)

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scientific article; zbMATH DE number 1600978
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A note on choosability with separation for planar graphs.
scientific article; zbMATH DE number 1600978

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    20 July 2005
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    choosability
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    planar graphs
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    A note on choosability with separation for planar graphs. (English)
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    The author presents a direct proof of the theorem by \textit{J.\ Kratochvíl, Zs.\ Tuza} and \textit{M.\ Voigt} [J.\ Graph Theory 27, 43-49 (1998; Zbl 0894.05016)] that every planar graph is \((4t,t,3t)\)-choosable. He also constructs a graph on 119 vertices that is not \((3,1,1)\)-choosable. Finally, three open problems from this field are presented.
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