Multidimensional clustering and hypergraphs.

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Bibliographic Details
Title: Multidimensional clustering and hypergraphs.
Authors: Kozyrev, S. V.1 kozyrev@mi.ras.ru
Source: Theoretical & Mathematical Physics. Sep2010, Vol. 164 Issue 3, p1163-1168. 6p.
Subjects: Hypergraphs, Fuzzy hypergraphs, Graph theory, Metric spaces, Quasi-metric spaces
Abstract: We discuss a multidimensional generalization of the clustering method. In our approach, the clustering is realized by partially ordered hypergraphs belonging to some family. The suggested procedure is applicable in the case where the original metric depends on a set of parameters. The clustering hypergraph studied here can be regarded as an object describing all possible clustering trees corresponding to different values of the original metric. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We discuss a multidimensional generalization of the clustering method. In our approach, the clustering is realized by partially ordered hypergraphs belonging to some family. The suggested procedure is applicable in the case where the original metric depends on a set of parameters. The clustering hypergraph studied here can be regarded as an object describing all possible clustering trees corresponding to different values of the original metric. [ABSTRACT FROM AUTHOR]
ISSN:00405779
DOI:10.1007/s11232-010-0095-2