Choosability and edge choosability of planar graphs without five cycles (Q1609512)
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scientific article; zbMATH DE number 1781919
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Choosability and edge choosability of planar graphs without five cycles |
scientific article; zbMATH DE number 1781919 |
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Choosability and edge choosability of planar graphs without five cycles (English)
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15 August 2002
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It is proved that every planar graph \(G\) of minimum degree \(\geq 3\) without cycles of length 5 contains an edge \(xy\) with degree-3 vertex \(x\) and degree-\((\leq 5)\) vertex \(y\). Based on this result the authors prove that \(G\) is four choosable and also edge-\((\delta(G)+1)\)-choosable.
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edge choosability
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degeneracy
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planar graph
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