Planarity of lattices

  • Authors:
  • Christian Zschalig

  • Affiliations:
  • Institut für Algebra, TU Dresden, Germany

  • Venue:
  • ICFCA'05 Proceedings of the Third international conference on Formal Concept Analysis
  • Year:
  • 2005

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Abstract

Popular lattice drawing algorithms do not take planarity into account and find plane diagrams mainly heuristically. We present a characterization of planar lattices based on a theorem of Dushnik and Miller [4] and the “left”-relation introduced by Kelly and Rival [6]. In particular, our work is helpful for drawing plane attribute additive diagrams.