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Characterizations of the convex geometries arising from the double shellings of posets

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Publication:982616
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DOI10.1016/j.disc.2010.03.031zbMath1194.52006OpenAlexW2028538424MaRDI QIDQ982616

Masataka Nakamura, Kenji Kashiwabara

Publication date: 7 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2010.03.031


zbMATH Keywords

posettrace operationconvex geometriesdouble shelling


Mathematics Subject Classification ID

General convexity (52A99)


Related Items

Hierarchical decompositions of implicational bases for the enumeration of meet-irreducible elements ⋮ Enumerating maximal consistent closed sets in closure systems



Cites Work

  • Greedoids
  • Extreme point axioms for closure spaces
  • The theory of convex geometries
  • A circuit set characterization of antimatroids
  • Excluded-minor characterizations of antimatroids arisen from posets and graph searches.
  • The forbidden minor characterization of line-search antimatroids of rooted digraphs
  • Sublattices of lattices of order-convex sets. I: The main representation theorem
  • Closure lattices
  • Antimatroids, Betweenness, Convexity
  • SUBLATTICES OF LATTICES OF ORDER-CONVEX SETS, II.
  • SUBLATTICES OF LATTICES OF ORDER-CONVEX SETS, III: THE CASE OF TOTALLY ORDERED SETS
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