Set Systems and Dissimilarities

European Journal of Combinatorics

Volumn 21, Issue 6, 2000, Pages 727-743

  Bertrand, Patrice ^a,b  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

^b INRIA ROCQUENCOURT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034373854     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1006/eujc.1999.0379     Document Type: Article

References (18)

1. H.-J. Bandelt, Four-point characterization of the dissimilarities obtained from indexed closed weak hierarchies, Mathematisches Seminar, Universitat Hamburg, Germany, 1992.
2. H.-J. Bandelt and A. W. M. Dress, Weak hierarchies associated with similarity measures - an additive clustering technique, Bull. Math. Biol., 51 (1989), 133-166.
3. H.-J. Bandelt and A. W. M. Dress, An order theoretic framework for overlapping clustering, Discrete Math., 136 (1994), 21-37.
4. A. Batbedat, Les isomorphismes HTS et HTE (après la bijection de Benzécri / Johnson), Metron, 46 (1988), 47-59.
5. A. Batbedat, Les Approches Pyramidales dans la Classification arborée, Masson, Paris, 1990.
6. J.-P. Benzécri, L'Analyse des données: la Taxinomie, volume 1, Dunod, Paris, 1973.
7. C. Berge, Hypergraphes, Gauthier-Villars, Paris, 1987.
8. P. Bertrand, Structural properties of pyramidal clustering, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 19 (1995), 35-53.
9. P. Bertrand and E. Diday, Les pyramides classifantes: une extension de la structure hiéarchique, C. R. Acad. Sci. Paris Sér. I Math., 313 (1991), 693-696.
10. P. Bertrand and M. F. Janowitz, Pyramids and weak hierarchies in the ordinal model for clustering, Cahiers de mathématiques de la décision num. 9709, CEREMADE (URA CNRS 749), Université Paris-Dauphine, France, 1997.
11. J. Diatta and B. Fichet, From Apresjan Hierarchies and Bandelt-Dress Weak Hierarchies to Quasi-hierarchies, in: New Approaches in Classification and Data Analysis, E. Diday et al. (ed.), Springer-Verlag, Berlin, 1994, pp. 111-118.
12. E. Diday, Une représentation visuelle des classes empiétantes : les pyramides - Rapport I.N.R.I.A. num. 291, I.N.R.I.A., Rocquencourt, France, 1984.
13. E. Diday, Orders and overlapping clusters in pyramids, in: Multidimensional Data Analysis, J. De Leeuw et al. (ed.), DSWO Press, Leiden, 1986, pp. 201-234.
14. C. Durand and B. Fichet, One-to-one correspondences in pyramidal representation: a unified approach, in: Classification and Related Methods of Data Analysis, H. H. Bock (ed.), North-Holland, Amsterdam, 1988, pp. 85-90.
15. B. Fichet, Data analysis: geometric and algebraic structures, in: First World Congress of Bernouilli Society Proceedings, Y. A. Prohorov and V. V. Sasonov (eds), V.N.U. Science Press, Utrecht, 1987, pp. 123-132.
16. P. C. Gilmore, Families of sets with faithfull graph representation, Technical report, Thomas J. Watson Research Center, Yorktown Heights, 1962.
17. M. F. Janowitz, An order theoretic model for cluster analysis, SIAM J. Appl. Math., 34 (1978), 55-72.
18. S. C. Johnson, Hierarchical clustering schemes, Psychometrika, 12 (1967), 241-254.