A note on choosability with separation for planar graphs. (Q2716011)
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scientific article; zbMATH DE number 1600978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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