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From hypertrees to arboreal quasi-ultrametrics

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Publication:1766738
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DOI10.1016/j.dam.2004.06.017zbMath1056.05102OpenAlexW2129831965MaRDI QIDQ1766738

François Brucker

Publication date: 8 March 2005

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2004.06.017


zbMATH Keywords

clusteringdissimilarityhypertreesubdominantball hypergraphcluster hypergraphquasi-ultrametric


Mathematics Subject Classification ID

Trees (05C05) Hypergraphs (05C65) Metric spaces, metrizability (54E35) Distance in graphs (05C12)


Related Items

Parsimonious cluster systems ⋮ Combinatorial optimisation and hierarchical classifications ⋮ Totally balanced dissimilarities



Cites Work

  • NP-hard problems in hierarchical-tree clustering
  • Hypergraphes arbores
  • NP-hard approximation problems in overlapping clustering.
  • Set systems and dissimilarities
  • Approximating dissimilarities by quasi-ultrametrics
  • Hierarchical clustering schemes
  • The structure and construction of taxonomic hierarchies
  • Dually Chordal Graphs
  • Sur la liaison et la division des points d'un ensemble fini
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