Description combinatoire des ultramétriques

Keywords

Mathematics

References

• Minimum Spanning Trees and Single Linkage Cluster AnalysisJ. C. Gower, G. J. Ross — 1969
• GRAPH THEORY AND AUTOMATIC CONTROLKalaba, Robert — 1963
• Introduction à l'analyse des donnéesF. Cailliez, J. P. Pagès — 1976
• Les bases de la classification automatiqueJ. C. Gower, I. C. Lerman — 1971
• Équilibre d'un graphe. Quelques résultats algébriquesClaude Flament — 1970
• Sur la liaison et la division des points d'un ensemble finiKazimierz Florek, Justyna Łukaszewicz, Juljan Perkal — 1951
• Combinatorial Algorithms: Theory and PracticeEdward M. Reingold, Jürg Nievergelt, Narsingh Deo — 1977
• Metrics on spaces of finite treesScott A. Boorman, Donald Olivier — 1973
• SPANNING TREES AND ASPECTS OF CLUSTERINGLawrence J. Hubert — 1974
• A Graph Theoretic Analysis of Pattern Classification via Tamura's Fuzzy RelationJ. C. Dunn — 1974
• Shortest connection networks and some generalizationsR. C. Prim — 1957
• Hierarchical analysis: Classification with ordinal object dissimilaritiesMartin Schader — 1980
• Structural balance and clustering in bushmen kinship relationsPer Hage — 1976
• Height on posets and graphsL. Haskins, Stanley Gudder — 1972
• Studies on the balancing, the minimal balancing, and the minimum balancing processes for social groups with planar and nonplanar graph structuresOsamu Katai, Sousuke Iwai — 1978
• Discrete Mathematical Models with Applications to Social, Biological, and Environmental Problems.Christopher Nevison, Fred S. Roberts — 1976
• k-Components, Clusters and Slicings in GraphsDavid W. Matula — 1972
• Ultrametrics and matrix theoryKi Hang Kim, F.W. Roush — 1978
• Data analysis implications of some concepts related to the cuts of a graphLawrence J. Hubert — 1977
• Bicriterion Cluster AnalysisMichel Delattre, Pierre Hansen — 1980

Cited by

• Energetic-lattice based optimizationBangalore Ravi Kiran — 2014
• Graphes d'archesBruno Leclerc — 2002
• Classifications en classes recouvrantes ou non, et leurs dissimilaritésPatrice Bertrand — 2010
• Aggregation of fuzzy preferences: A theoretic Arrow-like approachBruno Leclerc — 1991
• Competitive clustering algorithms based on ultrametric propertiesSaid Fouchal, Murat Ahat, Soufian Ben Amor — 2013
• On the Equivalence Between Hierarchical Segmentations and Ultrametric WatershedsLaurent Najman — 2010
• Minimum spanning trees for tree metrics: abridgements and adjustmentsBruno Leclerc — 1995
• Cluster analysis and mathematical programmingPierre Hansen, Brigitte Jaumard — 1997
• Metrics on partially ordered sets - A surveyBernard Monjardet — 1981
• Faster reliable phylogenetic analysisVincent Berry, David Bryant — 1999
• Mathematical Classification and ClusteringBoris Mirkin — 1996
• Axioms for consensus functions based on lower bounds in posetsW. H. Day, F.R. McMorris, David Meronk — 1986
• On some relations between 2-trees and tree metricsBruno Leclerc, Vladimir Makarenkov — 1998
• Combinatorial optimisation and hierarchical classificationsJean‐Pierre Barthélemy, François Brucker, Christophe Osswald — 2004
• On the use of ordered sets in problems of comparison and consensus of classificationsJean‐Pierre Barthélemy, Bruno Leclerc, Bernard Monjardet — 1986
• Characterizing (quasi-)ultrametric finite spaces in terms of (directed) graphsVladimir Gurvich, M. Vyalyi — 2012
• A Behavioral Distance for Fuzzy-Transition SystemsYongzhi Cao, Sherry Sun, Huaiqing Wang — 2011
• On U-equivalence spacesFarshad Omidi, MohammadReza Molaei — 2015
• Fast and flexible unsupervised custering algorithm based on ultrametric propertiesSaid Fouchal, Ivan Lavallée — 2011
• Combinatorial Data AnalysisPhipps Arabie, Lawrence J. Hubert — 1992

Related papers

• Minimum Spanning Trees and Single Linkage Cluster AnalysisJ. C. Gower, G. J. Ross — 1969
• An Order Theoretic Model for Cluster AnalysisM. F. Janowitz — 1978
• Hierarchical clustering schemesS. C. Johnson — 1967
• On the shortest spanning subtree of a graph and the traveling salesman problemJoseph B. Kruskal — 1956
• Scale-Sets Image AnalysisLaurent Guigues, Jean Pierre Cocquerez, Hervé Le Men — 2006
• Les hiérarchies de parties et leur demi-treillisBruno Leclerc — 1985
• The Recovery of Trees from Measures of DissimilarityPeter Buneman — 1971
• Metrics on spaces of finite treesScott A. Boorman, Donald Olivier — 1973
• Les arbres et les representations des proximites : J.-P. Barthelemy and A. Guenoche, Paris: Masson, 1988, 236 pages, 160 francs.F.W. Roush — 1989
• Clustering AlgorithmsJ. A. Hartigan — 1975