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On maximal antichains consisting of sets and their complements

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Publication:1150366
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DOI10.1016/0097-3165(80)90034-5zbMath0456.05004OpenAlexW2014975771MaRDI QIDQ1150366

Hans-Dietrich O. F. Gronau

Publication date: 1980

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(80)90034-5


zbMATH Keywords

antichainsLYM inequalityErdős-Ko-Rado-theorem


Mathematics Subject Classification ID

Permutations, words, matrices (05A05)


Related Items (1)

An Erdős-Ko-Rado theorem for multisets



Cites Work

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  • On maximal antichains containing no set and its complement
  • Sperner systems consisting of pairs of complementary subsets
  • Existence theorems for Sperner families
  • Erdős-Ko-Rado from Kruskal-Katona
  • A minimization problem concerning subsets of a finite set
  • Logarithmic order of free distributive lattice
  • INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
  • Extensions of the Erdös-Ko-Rado Theorem
  • A short proof of Sperner's lemma
  • A generalization of a combinatorial theorem of macaulay
  • On Existence of Distinct Representative Sets for Subsets of a Finite Set
  • Generalization of Sperner’s Theorem on the Number of Subsets of a Finite Set




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