Antipodal metrics and split systems (Q1348745)
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scientific article; zbMATH DE number 1740608
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Antipodal metrics and split systems |
scientific article; zbMATH DE number 1740608 |
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Antipodal metrics and split systems (English)
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5 September 2003
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A metric \(d\) on a finite set \(X\) is called antipodal if there exists a map \(\sigma: X \rightarrow X\) so that \(d(x,\sigma(x))= d(x,y) + d(y,\sigma (x))\) holds for all \(x,y \in X.\) In this paper the authors examine antipodal metrics that are in addition totally split decomposable and give explicit characterization of such metrics.
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split
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antipodal Hamming metrics
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