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Distinguishing and Classifying from n-ary Properties


  • Pascal Préa


  • Monique Rolbert



We present a hierarchical classification based on n-ary relations of the entities. Starting from the finest partition that can be obtained from the attributes, we distinguish between entities having the same attributes by using relations between entities. The classification that we get is thus a refinement of this finest partition. It can be computed in O(n + m 2 ) space and O(n · p · m 5/2 ) time, where n is the number of entities, p the number of classes of the resulting hierarchy (p is the size of the output; p > 2n) and m the maximum number of relations an entity can have (usually, m ≪ n). So we can treat sets with millions of entities. Copyright Classification Society of North America 2014

Suggested Citation

  • Pascal Préa & Monique Rolbert, 2014. "Distinguishing and Classifying from n-ary Properties," Journal of Classification, Springer;The Classification Society, vol. 31(1), pages 28-48, April.
  • Handle: RePEc:spr:jclass:v:31:y:2014:i:1:p:28-48
    DOI: 10.1007/s00357-014-9151-1

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    References listed on IDEAS

    1. Osborne, Martin J., 2009. "Introduction to Game Theory: International Edition," OUP Catalogue, Oxford University Press, number 9780195322484.
    2. J. Barkley Rosser, 2009. "Introduction," Chapters,in: Handbook of Research on Complexity, chapter 1 Edward Elgar Publishing.
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