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Six points suffice: How to check for metric consistency
FSPM-Strukturbildungsprozesse, University of Bielefeld, D-33501 Bielefeld, Germany.
Institute of Fundamental Sciences, Massey University, Private Bag 11 222, Palmerston North, New Zealand.
FSPM-Strukturbildungsprozesse, University of Bielefeld, D-33501 Bielefeld, Germany.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
2001 (English)In: European journal of combinatorics (Print), ISSN 0195-6698, E-ISSN 1095-9971, Vol. 22, no 4, 465-474 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2001. Vol. 22, no 4, 465-474 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-13577DOI: 10.1006/eujc.2000.0448ISI: 000170861200004Scopus ID: 2-s2.0-0035590155OAI: oai:DiVA.org:miun-13577DiVA: diva2:413146
Available from: 2011-04-27 Created: 2011-04-19 Last updated: 2016-10-17Bibliographically approved

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