Totally Balanced Dissimilarities

  • François BruckerEmail author
  • Pascal Préa
  • Célia Châtel


We show in this paper a bijection between totally balanced hypergraphs and so-called totally balanced dissimilarities. We give an efficient way (O(n3) where n is the number of elements) to (i) recognize if a given dissimilarity is totally balanced and (ii) approximate it if it is not the case. We also introduce a new kind of dissimilarity which generalizes chordal graphs and allows a polynomial number of clusters that can be easily computed and interpreted.


Dissimilarities Totally balanced hypergraphs Binary matrices 



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© The Classification Society 2019

Authors and Affiliations

  1. 1.École Centrale MarseilleLIf, CNRS UMR 7279Marseille Cedex 20France

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