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A generalization of the AZ identity

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Publication:1311014
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DOI10.1007/BF01202350zbMath0789.05088MaRDI QIDQ1311014

Ning Cai

Publication date: 26 January 1994

Published in: Combinatorica (Search for Journal in Brave)


zbMATH Keywords

Sperner's theoremAZ identityAhlswede-Zhang identityBollobás inequalityLYM-inequality


Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Extremal set theory (05D05) Other combinatorial set theory (03E05)


Related Items (7)

AZ-style identities of downsets and upsets ⋮ Pseudo-LYM inequalities and AZ identities ⋮ On half-way AZ-style identities ⋮ A simple proof for a more generalized form of the AZ-identity ⋮ Generic type of Ahlswede–Zhang style identities ⋮ An AZ-style identity and Bollobás deficiency ⋮ Graph-intersecting set systems and LYM inequalities



Cites Work

  • Unnamed Item
  • A Sperner theorem on unrelated chains of subsets
  • On cloud-antichains and related configurations
  • An identity in combinatorial extremal theory
  • A Sperner-type theorem and qualitative independence
  • Logarithmic order of free distributive lattice
  • On generalized graphs
  • A short proof of Sperner's lemma
  • Generalization of Sperner’s Theorem on the Number of Subsets of a Finite Set




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