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The necklace poset is a symmetric chain order

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Publication:986102
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DOI10.1016/j.jcta.2010.02.003zbMath1202.06002OpenAlexW2006738947MaRDI QIDQ986102

Kelly Kross Jordan

Publication date: 11 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2010.02.003


zbMATH Keywords

posetBoolean latticesymmetric chain decompositionquotient posetbracketingVenn diagramnecklace poset


Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07)


Related Items

Decompositions of the Boolean lattice into rank-symmetric chains. ⋮ A combinatorial proof of the unimodality and symmetry of weak composition rank sequences ⋮ New roses: simple symmetric Venn diagrams with 11 and 13 curves ⋮ Orthogonal Symmetric Chain Decompositions of Hypercubes ⋮ On orthogonal symmetric chain decompositions ⋮ Symmetric chain decompositions of quotients by wreath products.



Cites Work

  • On the existence of symmetric chain decompositions in a quotient of the Boolean lattice
  • Quotients of Peck posets
  • Strong versions of Sperner's theorem
  • Venn diagrams and symmetric chain decompositions in the Boolean lattice
  • Venn Diagrams and Independent Families of Sets
  • Sufficient Conditions for a Symmetric Chain Order
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