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The cubical poset is additive

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Publication:1357719
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DOI10.1016/0012-365X(95)00329-UzbMath0874.06005OpenAlexW2085212140MaRDI QIDQ1357719

G. F. Clements

Publication date: 5 November 1997

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

Full work available at URL: https://doi.org/10.1016/0012-365x(95)00329-u


zbMATH Keywords

additivitycubical posetMacauley poset


Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Extremal set theory (05D05) Algebraic aspects of posets (06A11)


Related Items (1)

Characterizing profiles of \(k\)-families in additive Macaulay posets




Cites Work

  • A generalization of the Kruskal-Katona theorem
  • An extremal problem for antichains of subsets of a multiset
  • On multiset k-families
  • On maximal antichains containing no set and its complement
  • The Kruskal-Katona method made explicit
  • The minimal number of basic elements in a multiset antichain
  • More on the generalized Macaulay theorem. II
  • Another generalization of the Kruskal-Katona theorem
  • The optimal number of faces in cubical complexes
  • A short proof of Sperner's lemma
  • A generalization of a combinatorial theorem of macaulay
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