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Forbidden Intersection Patterns in the Families of Subsets (Introducing a Method)

  • Gyula O. H. Katona
Chapter
Part of the Bolyai Society Mathematical Studies book series (BSMS, volume 17)

Abstract

Let [n] = 1,2,..., n be a finite set, \( \mathcal{F} \subset 2^{[n]} \) ⊂ 2[n] a family of its subsets. In the present paper max \( \left| \mathcal{F} \right| \) will be investigated under certain conditions on the family \( \mathcal{F} \). The well-known Sperner theorem ([14]) was the first such result.

Keywords

Lower Estimate Intersection Pattern Boolean Lattice Label Path Constant Weight Code 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© János Bolyai Mathematical Society and Springer-Verlag 2008

Authors and Affiliations

  • Gyula O. H. Katona
    • 1
  1. 1.Rényi InstituteBudapestHungary

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