Journal article

Six points suffice : How to check for metric consistency

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Publication Details

Subtitle: How to check for metric consistency

Author list: Moulton, Vincent

Publication year: 2001

Start page: 465

End page: 474

Number of pages: 10

ISSN: 0195-6698

DOI: http://dx.doi.org/10.1006/eujc.2000.0448

View additional information: View in Web of Science


Abstract

In many areas of data analysis, it is desirable to have tools at hand for analyzing the structure of distance tables-or, in more mathematical terms, of finite metric spaces. One such tool, known as split decomposition theory has proven particularly useful in this respect. Tbe class of so-called totally decomposable metrics forms a cornerstone for this theory, and much work has been devoted to their study. Recently, it has become apparent that a particular subclass of these metrics, the consistent metrics, are also of fundamental importance. In this paper, we give a six-point characterization of consistent metrics amongst the totally decomposable ones.


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Last updated on 2017-06-10 at 03:16