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A Classification of the Six-point Prime Metrics

✍ Scribed by Jack Koolen; Vincent Moulton; Udo Tönges


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
200 KB
Volume
21
Category
Article
ISSN
0195-6698

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✦ Synopsis


The notion of a coherent decomposition of a metric on a finite set has proven fruitful, with applications to areas such as the geometry of metric cones and bioinformatics. In order to obtain a deeper insight into these decompositions it is important to improve our knowledge of those metrics which cannot be coherently decomposed in a non-trivial way, i.e., the prime metrics. In this paper we classify the prime metrics on six points.


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