Antipodal metrics and split systems
type: Item
instance of: scholarly article
title: Antipodal metrics and split systems
zbMATH Open document ID: 1018.05024
author: Andreas W. M. Dress
author: Vincent Moulton
author: Katharina T. Huber
published in: European Journal of Combinatorics
publication date: 2003-09-05T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 05C12
zbMATH DE Number: 1740608
zbMATH Keywords: split
zbMATH Keywords: antipodal Hamming metrics
reviewed by: Nicolae A. Soare
describes a project that uses: SplitsTree
MaRDI profile type: Publication
OpenAlex ID: W2045053986
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DOI: 10.1006/EUJC.2001.0556
description: scientific article; zbMATH DE number 1740608