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On maximal families of subsets of a finite set

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Publication:1147702
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DOI10.1016/0012-365X(81)90059-5zbMath0451.05001MaRDI QIDQ1147702

Hans-Dietrich O. F. Gronau

Publication date: 1981

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

propertiesBoolean functionordered pair of subsetssubsets of finite sets


Mathematics Subject Classification ID

Permutations, words, matrices (05A05)


Related Items (1)

Old and new applications of Katona's circle



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Some results on Sperner families
  • On maximal antichains containing no set and its complement
  • Intersection theorems and a lemma of Kleitman
  • Sperner systems consisting of pairs of complementary subsets
  • Two applications (for search theory and truth functions) of Sperner type theorems
  • Logarithmic order of free distributive lattice
  • A THEOREM ON FINITE SETS
  • The Number of Values of a Boolean Function
  • On incomparable collections of sets
  • On A Problem of Purdy Related to Sperner Systems
  • A short proof of Sperner's lemma
  • A Combinatorial Theorem on Systems of Sets
  • Generalization of Sperner’s Theorem on the Number of Subsets of a Finite Set


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