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Induced layered clusters, hereditary mappings, and convex geometries

✍ Scribed by B. Mirkin; I. Muchnik

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 396 KB
Volume: 15
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(01)00133-1

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✦ Synopsis

Communicated by A. Dress

Abstract--A method for structural clustering proposed by the authors is extended to the case when there are externally defined restrictions on the relations between sets and their elements. This framework appears to be related to order-theoretic concepts of the hereditary mappings and convex geometries, which enables us to give characterizations of those in terms of the monotone linkage functions.

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