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Embedding of trees in Euclidean spaces - MaRDI portal

Embedding of trees in Euclidean spaces (Q1100211)

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scientific article; zbMATH DE number 4041939
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English
Embedding of trees in Euclidean spaces
scientific article; zbMATH DE number 4041939

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    Embedding of trees in Euclidean spaces (English)
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    1988
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    It is proved that for any tree T the vertices of T can be placed on the surface of a sphere in \(R^ 3\) in such a way that adjacent vertices have distance 1 and nonadjacent vertices have distance less than 1. This improves an earlier result of the last three authors (to appear in Discrete and Computational Geometry).
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    embedding in a sphere
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    tree
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