Minimum networks for four points in space (Q1851073)
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scientific article; zbMATH DE number 1845447
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimum networks for four points in space |
scientific article; zbMATH DE number 1845447 |
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Minimum networks for four points in space (English)
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15 December 2002
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The Steiner tree problem in space is much harder then in the plane. It is shown here, for instance, that Steiner trees on 4 points in space in general cannot be solved by radicals (see also \textit{St. Mehlhos} [Beitr. Algebra Geom. 41, 151-158 (2000; Zbl 0947.90094)]). The optimal Steiner tree ratio for 4 points in space is also determined.
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minimum network
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Steiner tree
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0.8443473
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0.8440544
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0.8408883
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