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Excluded-minor characterizations of antimatroids arisen from posets and graph searches.

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Publication:1406042
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DOI10.1016/S0166-218X(02)00581-4zbMath1033.05025OpenAlexW2179527687MaRDI QIDQ1406042

D. Massart

Publication date: 9 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-218x(02)00581-4


zbMATH Keywords

antimatroidexcluded minornode searchposet shelling


Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)


Related Items

Antimatroids and balanced pairs ⋮ ULD-Lattices and Δ-Bonds ⋮ The max-flow min-cut property of two-dimensional affine convex geometries ⋮ Characterizations of the convex geometries arising from the double shellings of posets



Cites Work

  • Matroids and antimatroids - a survey
  • Greedoids
  • The theory of convex geometries
  • A characterization of undirected branching greedoids
  • Meet-distributive lattices and the anti-exchange closure
  • The lattice of convex sets of an oriented matroid
  • The forbidden minor characterization of line-search antimatroids of rooted digraphs
  • The subposet lattice and the order polynomial
  • Convexity in Graphs and Hypergraphs
  • The structure of Sperner k-families
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