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Minimum weight flat antichains of subsets

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Publication:2665830
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DOI10.1007/s11083-021-09550-xOpenAlexW3122437328MaRDI QIDQ2665830

Ian T. Roberts, Sven Hartmann, Uwe Leck, Thomas Kalinowski, Jerrold R. Griggs

Publication date: 19 November 2021

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00067


zbMATH Keywords

antichainKruskal-Katona theoremLubell functionflat antichainsperner family


Mathematics Subject Classification ID

Order, lattices, ordered algebraic structures (06-XX)


Related Items (2)

The saturation spectrum for antichains of subsets ⋮ Maximal antichains of minimum size



Cites Work

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  • Diamond-free families
  • Maximal flat antichains of minimum weight
  • The minimal number of basic elements in a multiset antichain
  • Minimum shadows in uniform hypergraphs and a generalization of the Takagi function
  • Antichains on three levels
  • Maximal antichains of minimum size
  • Flattening antichains
  • Logarithmic order of free distributive lattice
  • Progress on poset-free families of subsets
  • Extremal problems in finite sets
  • 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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