About the enumeration algorithms of closed sets

  • Authors:
  • Alain Gély;Raoul Medina;Lhouari Nourine

  • Affiliations:
  • IUT de Metz - Département STID, Ile du Saulcy, Université Paul Verlaine - Metz, Metz Cedex 1;Université Blaise Pascal – LIMOS, Aubière Cedex, France;Université Blaise Pascal – LIMOS, Aubière Cedex, France

  • Venue:
  • ICFCA'10 Proceedings of the 8th international conference on Formal Concept Analysis
  • Year:
  • 2010

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Abstract

This paper presents a review of enumeration technics used for the generation of closed sets. A link is made between classical enumeration algorithms of objects in graphs and algorithms for the enumeration of closed sets. A unified framework, the transition graph, is presented. It allows to better explain the behavior of the enumeration algorithms and to compare them independently of the data structures they use.