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A study on strongly convex hyper S-subposets in hyper S-posets
In this paper, we study various strongly convex hyper S-subposets of hyper S-posets in detail. To begin with, we consider the decomposition of hyper S-posets.
Tang Jian, Xie Xiang-Yun, Davvaz Bijan
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Interval number of special posets and random posets
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Tom Madej, Douglas B. West
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Geometric Applications of Posets
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Michael Segal 0001, Klara Kedem
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A poset is representable if it can be embedded in a field of sets in such a way that existing finite meets and joins become intersections and unions respectively (we say finite meets and joins are preserved). More generally, for cardinals $α$ and $β$ a poset is said to be $(α,β)$-representable if an embedding into a field of sets exists that preserves ...
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Connectivity of the coset poset and the subgroup poset of a group [PDF]
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The Combinatorics of Poset Associahedra [PDF]
In this dissertation, we study poset associahedra and the combinatorics surrounding them. We provide a simple realization of poset associahedra and affine poset cyclohedra.
Sack, Andrew Ian
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AbstractMany of the well-known selection and sorting problems can be understood as the production of certain partial orders, using binary comparisons. The paper discusses the complexity of the production of arbitrary posets all of a given size n (on a totally ordered ground-set).
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Reducing the lengths of slim planar semimodular lattices without changing their congruence lattices [PDF]
Following G. Grätzer and E. Knapp (2007), a slim planar semimodular lattice, SPS lattice for short, is a finite planar semimodular lattice having no $M_3$ as a sublattice.
Gábor Czédli
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