La comparaison des hiérarchies : indices et métriques
Leclerc, B.
Mathématiques et Sciences humaines, Tome 92 (1985), p. 5-40 / Harvested from Numdam
@article{MSH_1985__92__5_0,
     author = {Leclerc, Bruno},
     title = {La comparaison des hi\'erarchies : indices et m\'etriques},
     journal = {Math\'ematiques et Sciences humaines},
     volume = {92},
     year = {1985},
     pages = {5-40},
     mrnumber = {866224},
     zbl = {0592.62050},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/MSH_1985__92__5_0}
}
Leclerc, B. La comparaison des hiérarchies : indices et métriques. Mathématiques et Sciences humaines, Tome 92 (1985) pp. 5-40. http://gdmltest.u-ga.fr/item/MSH_1985__92__5_0/

Adams E.N. III, "Consensus techniques and the comparison of taxonomic trees", Syst. Zool., 21 (1972) , 390-397.

Bandelt H.J., Barthelemy J.P., "Medians in median graphs", Discrete Applied Math., 8 (1984), 131-142. | MR 743019 | Zbl 0536.05057

Barbut M., Monjardet B., Ordre et classification. Algèbre et Combinatoire,, tome 2, Hachette, Paris, 1970. | Zbl 0267.06001

Barthelemy J.P., "Remarques sur les propriétés métriques des ensembles ordonnés'' Math. Sci. hum., 61 (1978), 39-60. | Numdam | MR 508761 | Zbl 0419.06001

Barthelemy J.P., Propriétés métriques des ensembles ordonnés. Comparaison et agrégation des relations binaires, thèse, Université de Franche-Comté, Besançon, 1979a.

Barthelemy J.P., "Caractérisations axiomatiques de la distance de la différence symétrique entre les relations binaires", Math. Sci. hum., 67 (1979b), 85-113. | Numdam | Zbl 0418.06003

Barthelemy J.P., Flament C., Monjardet B., "Ordered sets and social sciences", in Proc. Symposium on ordered sets (Banff 1981), Reidel, Dordrecht, 1982. | MR 661311 | Zbl 0493.90005

Barthelemy J.P., Leclerc B., "Median consensus for tree representations of dichotomous variables ", en préparation, (1986).

Barthelemy J.P., Leclerc B., Monjardet B., "Quelques aspects du consensus en classification, in : DIDAY E., et al., eds, Data analysis and informatics 3, Amsterdam, North-Holland, 1984a. | Zbl 0566.62047

Barthelemy J.P., Leclerc B., Monjardet B., "Ensembles ordonnés et taxonomie mathématique", in : POUZET M., RICHARD D., eds, Orders : description and roles, Amsterdam, North-Holland, 1984b, 523-548. | MR 779868 | Zbl 0566.62051

Barthelemy J.P., Leclerc B., Monjardet B., On the use of ordered set in problems of comparison and consensus of classifications, rapport CAMS, P.018, 1986.

Barthelemy J.P., Monjardet B., "The median procedure in cluster analysis and social choice theory", Mathematical Social Sciences, 1 (1981), 235-267. | MR 616379 | Zbl 0486.62057

Birkhoff G., Lattice theory, 3rd edition, American Mathematical Society, Providence, N.J., 1967. | MR 227053 | Zbl 0153.02501

Berge C., Graphes et hypergraphes, Dunod, Paris, 1970. Graphs and hypergraphs, North-Holland, Amsterdam, 1973. | MR 357171 | Zbl 0213.25702

Bobisud H.M., Bobisud L.E., "A metric for classifications", Taxon, 21 (1972), 607-613.

Bogart K.P., "Preference structure I : distance between transitive preference relations ", J. Math. Sociol., 3 (1973) , 49-67. | MR 395936 | Zbl 0303.92013

Boorman S.A., Olivier D.C., "Metrics on spaces of finite trees", J. Math. Psychol., 10 (1973), 26-59. | MR 317975 | Zbl 0271.92011

Bordes G., "Métriques bornées définies par des valuations sur un demi-treillis", Math. Sci. hum., 56 (1976), 89-95. | Numdam | MR 444536 | Zbl 0367.06007

Burge W.H., "Sorting, trees and measures of order", Information and control, 1 (1958) , 181-197. | MR 96558 | Zbl 0085.34301

Chandon J.L., Pinson S., Analyse typologique, Masson, Paris, 1980. | MR 619538 | Zbl 0505.62039

Colless, "Congruence between morphometric and allozyme data for Menidia species : a reappraisal", Syst. Zool., 29 (1980), 288-299.

Comyn G., Van Dorpe J.C., "Valuation et semi-modularité dans les demi-treillis", Math. Sci. hum., 56 (1976), 63-75. | Numdam | MR 444542 | Zbl 0367.06009

Day W.H.E., Mcmorris F.R., A formalization of consensus index methods, Technical Report 8405, Memorial University of Newfoundland, St John's, Nfld, 1984. | MR 803562

Duffus O., Rival I., "Path length in the covering graph of a lattice", Discrete Math., 19 (1977), 139-158. | MR 543829 | Zbl 0372.06005

Farris J.S., "A successive approximations approach to character weighting", Syst. Zool., 18 (1969), 374-385.

Finden C.R., Gordon A.D., "Obtaining common pruned trees", J. of Classification, 2 (1985), 255-276.

Green C.D., "A path entropy function for rooted trees", J.A.C.M., 20 (1973), 378-384. | MR 360323 | Zbl 0268.68054

Grimonprez G., Van Dorpe J.C., "Distance définie par une application monotone sur un treillis", Math. Sci. hum., 56 (1976), 47-62. | Numdam | MR 439415 | Zbl 0367.06008

Guiasu S., Information theory with applications, Mc Graw-Hill, New York, 1977. Harary F., Graph theory, Addison-Wesley, Reading, Mass., 1969. | MR 504352 | Zbl 0379.94027

Harding E.S., "The probabilities of rooted tree-shapes generated by random bifurcations", Adv. Appl. Prob., 3 (1971), 44-77. | MR 282451 | Zbl 0241.92012

Hartigan J.A., "Representation of similarity matrices by trees", J. Amer. Statist. Ass., 62 (1967), 1140-1158. | MR 226760

Hartigan J.A., Clustering algorithms, Wiley, New York, 1975. | MR 405726 | Zbl 0372.62040

Haskins L., Gudder S., "Height on posets and graphs", Discrete Math., 2 (1972), 357-382. | MR 306059 | Zbl 0238.06002

Hu T.C., "Some results and problems in binary trees", in R. RUSTIN, ed., Combinatorial algorithms, Algorithmic Press, New York, 1973, 11-15. | MR 363967

Hubert L.J., Baker F.B., "The comparison and fitting of given classification schemes", J. Math. Psychol., 16 (1977) , 233-253. | MR 484565 | Zbl 0368.62109

Jambu M., "Quelques critères dé comparaison des hiérarchies indicées produites en classification automatique", Consommation, (1975) n° 1, 55-85.

Janvier Ph., Tassy P., Thomas H., "Le cladisme", La Recherche, 117 (1980), 1396-1406.

Knuth D.E., The art of computer programming. Vol.3: Sorting and searching, Addison-Wesley, Reading, Mass., 1973. | MR 445948 | Zbl 0302.68010

Leclerc B., "Description combinatoire des ultramétriques", Math. Sci. hum., 73 (1981), 5-37. | Numdam | MR 623034 | Zbl 0476.05079

Leclerc B., Description, évaluation et comparaison des hiérarchies de parties, rapport CAMS-EHESS, 1982.

Mcmorris F.R., Neumann D.A., "Consensus functions defined on trees", Math. Social Sciences,4 (1983), 131-136. | MR 698010 | Zbl 0511.90010

Margush T., "Distances between trees", Discrete Applied Math., 4 (1982), 281-290. | MR 677026 | Zbl 0504.06002

Margush T., Mcmorris F.R., "Consensus n-trees", Bull. of Math. Biology, 43 (1981), 239-244. | MR 661505 | Zbl 0455.92019

Mickevich M.F., "Taxonomic congruence", Syst. Zool., 27 (1978), 143-158.

Monjardet B., "Metrics on a partially ordered set. A survey", Discrete Math., 35 (1981), 173-181. | MR 620670 | Zbl 0463.46016

Moriconi F. Rizzi B., "Distropy in the dichotomic trees", Boll. Un. Mat. Ital., Ser. V, XIV-A n°1 (1978), 180-186. | MR 491883 | Zbl 0382.94010

Nelson G., "Cladistic analysis and synthesis : principles and definitions, with a historical note on Adanson's Familles des plantes (1763-1764)", Syst. Zool., 28 (1979), 1-21.

Nelson G., Platnick N., Systematics and biogeography. Cladistics and vicariance, Columbia University Press, New York, 1981.

Neumann D.A., "Faithful consensus methods for n-trees", Math. Biosci., 63 (1983), 271-287. | MR 695731 | Zbl 0539.62073

Neumann D.A., Norton V., On lattice consensus methods, Bowling Green State University, Bowling Green, 1985a.

Neumann D.A., Norton V., Consensus on partitions with applications to other structures, Bowling Green State University, Bowling Green, 1985b.

Parlebas P., "Centralité et compacité d'un graphe", Math. Sci. hum., 39 (1972), 5-26. | Numdam | MR 437399 | Zbl 0244.05123

Patil G.P., Taillie C., "An overview of diversity", in : GRASSLE J.F. et al, eds, Ecological diversity in theory and practice, (International Cooperative Publ. House, Fairland, MD), 1979, 3-27. | MR 638200

Phipps J.B., "Dendrogram topology", Syst. Zool., 20 (1971), 306-308.

Picard C.F., Graphes et questionnaires. t.2: Questionnaires, Gauthier-Villars, Paris, 1972. Graphs and questionnaires, North-Holland, Amsterdam, 1980. | MR 569060 | Zbl 0266.94018

Robinson D.F., Foulds L.R., "Comparison of phylogenetic trees", Math. Biosci., 53 (1981), 131-147. | MR 613619 | Zbl 0451.92006

Rohlf F.J., "Consensus indices for comparing classifications", Math. Biosci, 59 (1982), 131-144. | MR 673311

Schader M., "Hierarchical analysis : classification with ordinal object dissimilarities", Metrika, 27 (1980), 127-132. | MR 577564 | Zbl 0438.62046

Schuh R.T., Farris J.S., "Methods for investigating taxonomic congruence and their application to the Leptopodomorpha", Syst. Zool., 30 (1981), 331-351.

Schuh R.T., Polhemus J.T., "Analysis of taxonomic congruence among morphologigal, ecological and biogeographic data sets for the Leptopodomorpha (Hemiptera)", Syst. Zool., 29 (1980) , 1-26.

Sokal R.R., Rohlf F.J., "The comparison of dendrograms by objective methods", Taxon, 11 (1962), 33-39.

Sokal R.R., Rohlf F.J., "Taxonomic congruence in the Leptopodomorpha Reexamined", Syst. Zool., 30 (1981), 309-325.

Stinebrickner R., "s-consensus trees and indices", Bull. of math. Biology, 46 (1984a), 923-935. | MR 779171 | Zbl 0546.92001

Stinebrickner R., "An extension of intersection methods from trees to dendrograms", Syst. Zool., 33 (1984b), 381-386.

Waterman M.S., Smith T.F., "On the similarity of dendrograms", J. Theor. Biology, 73 (1978), 789-800. | MR 496831

Williams W.T., Clifford H.T., "On the comparison of two classifications on the same set of elements", Taxon, 20 (1971), 519-522.