On the number of antipodal or strictly antipodal pairs of points in finite subsets of \(\mathbb{R}^ d\). II (Q1321633)
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scientific article; zbMATH DE number 558683
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of antipodal or strictly antipodal pairs of points in finite subsets of \(\mathbb{R}^ d\). II |
scientific article; zbMATH DE number 558683 |
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On the number of antipodal or strictly antipodal pairs of points in finite subsets of \(\mathbb{R}^ d\). II (English)
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9 November 1994
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The authors prove results which have been announced in the first part of this note [DIMACS Ser. Discret. Math. Theor. Comput. Sci. 4, 457-470 (1991; Zbl 0738.52005)]. Some of the results concerning lower bounds for the number of (strictly) antipodal pairs of vertices in a \(d\)-polytope have been given by \textit{V. P. Soltan} and \textit{M. H. Nguen} whose latest paper [Discrete Comput. Geom. 11, No. 2, 149-162 (1994)] is not cited.
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antipodal pairs of points
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