Signed diagonal flips and the four color theorem (Q1817590)
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scientific article; zbMATH DE number 1382656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Signed diagonal flips and the four color theorem |
scientific article; zbMATH DE number 1382656 |
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Signed diagonal flips and the four color theorem (English)
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21 June 2000
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A flip of a diagonal \(e=uw\) in a plane triangulation \(T\) removes \(e\) from the quadrilateral \(uvwxu\) formed by the two faces of \(T\) adjacent to \(e\) and adds the opposite diagonal \(vx\). The author introduces a signed version of this operation, conjectures that any two triangulations of a given polygon can be transformed into each other by a signable sequence of diagonal flips, and shows that the conjectured statement would imply the four color theorem.
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plane triangulation
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polygon
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diagonal flips
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four color theorem
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0.9096677
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0.88240707
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