@article{MSH_1985__89__5_0,
author = {Leclerc, Bruno},
title = {Les hi\'erarchies de parties et leur demi-treillis},
journal = {Math\'ematiques et sciences humaines},
pages = {5--34},
year = {1985},
publisher = {Ecole Pratique des hautes \'etudes, Centre de math\'ematique sociale et de statistique},
volume = {89},
mrnumber = {800206},
zbl = {0563.68060},
language = {fr},
url = {https://www.numdam.org/item/MSH_1985__89__5_0/}
}
TY - JOUR AU - Leclerc, Bruno TI - Les hiérarchies de parties et leur demi-treillis JO - Mathématiques et sciences humaines PY - 1985 SP - 5 EP - 34 VL - 89 PB - Ecole Pratique des hautes études, Centre de mathématique sociale et de statistique UR - https://www.numdam.org/item/MSH_1985__89__5_0/ LA - fr ID - MSH_1985__89__5_0 ER -
%0 Journal Article %A Leclerc, Bruno %T Les hiérarchies de parties et leur demi-treillis %J Mathématiques et sciences humaines %D 1985 %P 5-34 %V 89 %I Ecole Pratique des hautes études, Centre de mathématique sociale et de statistique %U https://www.numdam.org/item/MSH_1985__89__5_0/ %G fr %F MSH_1985__89__5_0
Leclerc, Bruno. Les hiérarchies de parties et leur demi-treillis. Mathématiques et sciences humaines, Tome 89 (1985), pp. 5-34. https://www.numdam.org/item/MSH_1985__89__5_0/
, , "Medians in median graphs", Discrete Applied Math., 8 (1984), 131-142. | Zbl | MR
, , "Median Algebras", Discrete Math., 45 (1983), 1-30. | Zbl | MR
, "Mediane, distributivité, éloignements" (1961), Math. Sci. hum., 70 (1980), 5-31. | Zbl | MR | Numdam
, , Ordre et classification. Algèbre et Combinatoire, Paris, Hachette, 1970. | Zbl
, "Remarques sur les propriétés métriques des ensembles ordonnés", Math. Sci. hum., 61 (1978), 39-60. | Zbl | MR | Numdam
, "Caractérisations axiomatiques de la distance de la différence symétrique entre les relations binaires", Math. Sci. hum., 67 (1979), 85-113. | Zbl | Numdam
, , , "Quelques aspects du consensus en classification", in : DIDAY E., et al., eds, Data Analysis and Informatics 3, Amsterdam, North-Holland, 1984a, 307-316. | Zbl | MR
, , , "Ensembles ordonnés et taxonomie mathématique", in : POUZET M., RICHARD D., eds, Orders : description and roles, Amsterdam, North-Holland, 1984b, 523-548. | Zbl | MR
, "Description mathématique des classifications"(1967), in : L'analyse des données I, La Taxinomie, Paris, Dunod, 1973. | MR
, Graphes et hypergraphes, Paris, Dunod, 1970. Graphs and hypergraphs, Amsterdam, North-Holland, 1973. | Zbl | MR
, , "Metrics on spaces of finite trees", J. Math. Psychol., 10 (1973), 26-59. | Zbl | MR
, , "A computationally Efficient Approximation to the Nearest Neighbour Interchange Metric", J. of Classification 1 (1984), 93-124. | Zbl | MR
, "On the theory of the analytic forms called trees", Phil. Magazine, XIII, (1857), 172-176. Collected mathematical papers, vol.3, p.242, Cambridge University Press.
, , Analyse typologique, Paris, Masson, 1980. | Zbl | MR
, Analyse combinatoire, Paris, Presses Universitaires de France, 1970a. Advanced Combinatorics, Dordrecht, Reidel, 1974.
, "Sur le quatrième problème et les nombres de Schröder", C.R. Acad. Sci. Paris A-271 (1970 b) 913-916. | Zbl | MR
, , "Valuation et semi-modularité dans les demi-treillis", Math. Sci. hum., 56 (1976), 63-75. | Zbl | MR | Numdam
, "Unrooted trees for numerical taxonomy", J. Appl. Prob., 11 (1974), 32-42. | Zbl | MR
, "On non-associative combinations", Proc. Roy. Soc. Edinburgh, 59 (1939), 153-162. | Zbl | JFM
, , "Arbres minimaux d'un graphe préordonné", Discrete Math., 46 (1983), 159-171. | Zbl | MR
, , "Determining the asymptotic number of phylogenetic trees", in : Combinatorial Mathematics VII, Lecture Notes in Mathematics 829, Berlin, Springer-Verlag, 1980. | Zbl | MR
, , "Enumeration of binary phylogenetic trees", in : Combinatorical Mathematics VIII, Lecture Notes in Mathematics 884, Berlin, Springer-Verlag, 1982. | Zbl
, "Mathematical games : Catalan numbers", Scientific American 235, (June 1976), 120-125.
, "Research bibliography of two special numbers sequences", Mathematica Monongaliae, 12 (1971). | Zbl | MR
Th., "Un problème leibnitzien : les partages en nombres entiers", Math. Sci. hum., 17 (1968), 13-36. | MR | Numdam
, , "Analyse algébrique d'un scrutin", Math. Sci. hum., 4 (1960), 9-33. | Numdam
, Graph Theory, Reading, Mass., Addison-Wesley, 1969. | Zbl | MR
, , , "Labelled trees with unlabelled endpoints", J. Comb. Theory, 6 (1969), 60-64. | Zbl | MR
, "The probabilities of rooted tree-shapes generated by random bifurcations", Adv. Appl. Prob., 3 (1971), 44-77. | Zbl | MR
, Clustering algorithms, New-York, Wiley, 1975. | Zbl | MR
, , "Height on posets and graphs", Discrete Math., 2, (1972), 357-382. | Zbl | MR
, , , "Counterexamples in Measuring the distance between binary trees", Mathematical Social Sciences, 4 (1983), 271-274. | Zbl
, The art of computer programming, vol. 1 : Fundamental algorithms, vol.3 : Sorting and searching, Reading, Mass., Addison-Wesley, 1969- 1973. | MR
, "Description combinatoire des ultramétriques", Math. Sci. hum., 73 (1981), 5-37. | Zbl | MR | Numdam
, Description, évaluation et comparaison des hiérarchies de parties, rapport CAMS-EHESS, 1982.
, Les bases de la classification mathématique, Paris, Gauthier-Villars, 1970. | Zbl | MR
, Classification et analyse ordinale des données, Paris, Dunod, 1981. | Zbl | MR
, , "Consensus n-trees", Bull. Math. Biology, 43 (1981), 239-244. | Zbl | MR
, "Caractérisations métriques des ensembles ordonnés semimodulaires", Math. Sci. hum., 56 (1976), 77-87. | Zbl | MR | Numdam
, "Metrics on a partially ordered set. A survey", Discrete Math., 35 (1981), 173-181. | Zbl | MR
, "Enumerating labelled trees", in : HARARY F., ed., Graph Theory and Theoretical Physics, London, Academic Press, 1967. | Zbl | MR
, , , "An iterative approach from the stand-point of the additive hypothesis to the dendrogram problem posed by molecular data sets", J. Theor. Biol., 38 (1973), 423-457.
, "Counting dendrograms : a survey", Discrete Applied Math., 7 (1984), 191-199. | Zbl | MR
, "Chains in partially ordered sets", Bull. Amer. Math. Soc., 49 (1943), 558-566. | Zbl | MR
, "The number of trees", Ann. Math., 49, n°3 (1948), 583-599. | Zbl | MR
, "Comparison of Labeled Trees with valency three", J. of Comb. Theory 11 (1971), 105-119. | Zbl | MR
, "L'arbre minimum d'un graphe", in : ROSENSTIEHL P., ed., Théorie des graphes (Rome, 1966), Paris, Dunod, 1967. | Zbl
, "Hierarchical analysis : classification with ordinal object dissimilarities", Metrika, 27 (1980), 127-132. | Zbl | MR
, Scharfe und unscharfe Klassifikation Qualitativer Daten, Mathematic Systems in Economics 65, Verlagsgruppe Athenanüm, 1981. | Zbl | MR
, "Medians, Lattices and Trees", Proc. Amer. Math. Soc., 5 (1954), 808-812. | Zbl | MR
, "Vier combinatorische probleme", S. fur Mat. Phys., 15 (1870), 361-376. | JFM
, A handbook of integer sequences, New-York, Academic Press, 1973. | Zbl | MR
, , "On the similarity of dendrograms", J. Theor. Biol. 73 (1978), 789-800. | MR
, "The functional equation g(x2) = 2x + [g(x)]2", Ann. Math., 24 (1922), 121-140. | MR | JFM





