Correspondences between Pre-pyramids, Pyramids and Robinsonian Dissimilarities - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2013

Correspondences between Pre-pyramids, Pyramids and Robinsonian Dissimilarities

Jean Diatta
  • Fonction : Auteur
  • PersonId : 968998
  • IdHAL : jean-diatta

Résumé

We consider cluster structures in a general setting where they do not necessarily contain all singletons of the ground set. Then we provide a direct proof of the bijection between semi-proper robinsonian dissimilarities and indexed pre-pyramids. This result generalizes its analogue proven by Batbedat in the particular case of definite cluster structures. Moreover, the proposed proof shows that the clusters of the indexed pre-pyramid corresponding to a semi-proper robinsonian dissimilarity are particular 2-balls of the considered dissimilarity.
Fichier principal
Vignette du fichier
robinson_JD_240212.pdf (99.06 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00703391 , version 1 (01-06-2012)

Identifiants

  • HAL Id : hal-00703391 , version 1

Citer

Patrice Bertrand, Jean Diatta. Correspondences between Pre-pyramids, Pyramids and Robinsonian Dissimilarities. 2012. ⟨hal-00703391⟩
369 Consultations
247 Téléchargements

Partager

Gmail Facebook X LinkedIn More