Some contributions to the minimum representation problem of key systems

  • Authors:
  • Gyula O. H. Katona;Krisztián Tichler

  • Affiliations:
  • Alfréd Rényi Institute of Mathematics, Budapest, Hungary;Technische Universität Berlin, Berlin, Germany

  • Venue:
  • FoIKS'06 Proceedings of the 4th international conference on Foundations of Information and Knowledge Systems
  • Year:
  • 2006

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Abstract

Some new and improved results on the minimum representation problem for key systems will be presented. By improving a lemma of the second author we obtain better or new results on badly representable key systems, such as showing the most badly representable key system known, namely of size 2n(1−c·loglogn / logn) where n is the number of attributes. We also make an observation on a theorem of J. Demetrovics, Z. Füredi and the first author and give some new well representable key systems as well.