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Stacks and splits of partially ordered sets

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Publication:1160199
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DOI10.1016/0012-365X(81)90211-9zbMath0476.06002MaRDI QIDQ1160199

William T. jun. Trotter

Publication date: 1981

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


zbMATH Keywords

stackinterval dimensioncritical non interval-representable familiesdisconnected interval orderirreducible posetsposets of height onet-interval irreducible poset


Mathematics Subject Classification ID

Partial orders, general (06A06)


Related Items (6)

3-interval irreducible partially ordered sets ⋮ Recent results on containment graphs of paths in a tree ⋮ Dimensions of hypergraphs ⋮ Computing the dimension of N-free ordered sets is NP-complete ⋮ Split semiorders ⋮ Chordal bipartite graphs and crowns



Cites Work

  • Unnamed Item
  • A characterization of Robert's inequality for boxicity
  • Dimension of the crown \(S^k_n\)
  • On the complexity of posets
  • A bound on the dimension of interval orders
  • Characterization problems for graphs, partially ordered sets, lattices, and families of sets
  • Intransitive indifference with unequal indifference intervals
  • The 3-Irreducible Partially Ordered Sets
  • Transitiv orientierbare Graphen


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