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On a special class of median algebras

Miguel Couceiro 1 Gerasimos Meletiou 2
1 ORPAILLEUR - Knowledge representation, reasonning
Inria Nancy - Grand Est, LORIA - NLPKD - Department of Natural Language Processing & Knowledge Discovery
Abstract : In this short note we consider a class of median algebras, called (1, 2 : 3)-semilattices, that is pertaining to cluster analysis. Such median algebras arise from a natural generalization of conservativeness, and their description is given in terms of forbidden substructures.
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https://hal.inria.fr/hal-01248142
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Submitted on : Wednesday, December 23, 2015 - 9:13:10 PM
Last modification on : Tuesday, December 18, 2018 - 4:38:02 PM

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Miguel Couceiro, Gerasimos Meletiou. On a special class of median algebras. Miskolc Mathematical Notes, Miskolci Egyetemi Kiadó, 2017, 18 (1), pp.167-171. ⟨hal-01248142⟩

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