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Packing and covering k-chain free subsets in Boolean lattices

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Publication:1043999
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DOI10.1016/j.disc.2009.01.022zbMath1200.05051OpenAlexW2163424543MaRDI QIDQ1043999

Jia Shen

Publication date: 10 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.01.022


zbMATH Keywords

Boolean latticepacking numbercovering numbermaximal \(k\)-chain free subset


Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of packing and covering (05B40)




Cites Work

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  • Chains, antichains, and fibres
  • Two-colouring all two-element maximal antichains
  • Fibres and ordered set coloring
  • A smallest-fibre-size to poset-size ratio approaching \({8 \over 15}\)
  • A minimal cutset of the Boolean lattice with almost all members
  • Fibres of width 3 ordered sets
  • Minimum sized fibres in distributive lattices
  • Maximal Chains and Antichains in Boolean Lattices
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