Geometric containment orders: A survey

DOI10.1023/A:1006110326269zbMath0935.06001OpenAlexW1606702051MaRDI QIDQ1300338

Peter C. Fishburn, William T. jun. Trotter

Publication date: 7 September 1999

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006110326269

zbMATH Keywords

surveydimensionpartially ordered setdegrees of freedominclusion ordergeometric containment order

Mathematics Subject Classification ID

Partial orders, general (06A06) Research exposition (monographs, survey articles) pertaining to ordered structures (06-02)

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Dimension of CPT posets ⋮ Containment graphs and posets of paths in a tree: wheels and partial wheels ⋮ The complexity of embedding orders into small products of chains ⋮ On the recognition of neighborhood inclusion posets ⋮ Trees and circle orders ⋮ Revealed preference dimension via matrix sign rank ⋮ Separability, boxicity, and partial orders ⋮ Moduli spaces of Morse functions for persistence ⋮ Recent results on containment graphs of paths in a tree ⋮ Dimension-2 poset competition numbers and dimension-2 poset double competition numbers ⋮ On \(k\)-tree containment graphs of paths in a tree ⋮ Generalized Polychotomic Encoding: A Very Short Bit-Vector Encoding of Tree Hierarchies ⋮ Preprocessing Ambiguous Imprecise Points ⋮ Sphere orderings representation of space-time ⋮ Finite three-dimensional partial orders which are not sphere orders ⋮ Some necessary and sufficient conditions for admitting a continuous sphere order representation of two-dimensional space-times

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