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  1. Two Enriched Poset Polytopes

    Stanley introduced and studied two lattice polytopes, the order polytope and chain polytope, associated with a finite poset. Recently, Ohsugi and...

    Soichi Okada, Akiyoshi Tsuchiya in Annals of Combinatorics
    Article 22 December 2023

  2. Constructions of Codes with Weighted Poset Block Metrics

    Weighted poset block metric is a generalization of two types of metrics: one is weighted poset metric introduced by Panek and Pinheiro ( 2010 ) and the...

    Wen Ma, **quan Luo in Order
    Article 14 March 2024

  3. Relative poset polytopes and semitoric degenerations

    The two best studied toric degenerations of the flag variety are those given by the Gelfand–Tsetlin and FFLV polytopes. Each of them degenerates...

    Evgeny Feigin, Igor Makhlin in Selecta Mathematica
    Article Open access 29 April 2024

  4. Birational Maps to Grassmannians, Representations and Poset Polytopes

    We study the closure of the graph of the birational map from a projective space to a Grassmannian. We provide explicit description of the graph...

    Evgeny Feigin in Algebras and Representation Theory
    Article Open access 30 May 2024

  6. The Type B Permutohedron and the Poset of Intervals as a Tchebyshev Transform

    We show that the order complex of the poset of nonempty intervals, ordered by inclusion, is a Tchebyshev triangulation of the order complex of the...

    Gábor Hetyei in Discrete & Computational Geometry
    Article 26 February 2023

  7. Amalgamating Poset Extensions and Generating Free Lattices

    We investigate connections between the free lattice generated by a poset while preserving certain bounds and the canonical extension of a poset....

    Rob Egrot in Order
    Article 22 February 2022

  9. Poset Ramsey Number \(R(P,Q_n)\). II. N-Shaped Poset

    Maria Axenovich, Christian Winter in Order
    Article Open access 28 February 2024

  10. Germs in a poset

    Motivated by the theory of correspondence functors, we introduce the notion of germ in a finite poset, and the notion of germ extension of a poset....

    Serge Bouc in Journal of Algebraic Combinatorics
    Article 16 September 2021

  14. Invariant Computation in a Poset

    Kong and Ribemboim ( 1994 ) define for every poset P a sequence P = D 0 ( P ), D ( P ), D 2 ( P ), D 3 ( P )… of posets, where D i ( P ) = D ( D i − 1 ( P )) consists of all...

    DJamel Talem, Bachir Sadi in Order
    Article 10 March 2021

  15. Enumerative Combinatorics of Intervals in the Dyck Pattern Poset

    We initiate the study of the enumerative combinatorics of the intervals in the Dyck pattern poset. More specifically, we find some closed formulas to...

    Antonio Bernini, Matteo Cervetti, ... Einar Steingrímsson in Order
    Article Open access 03 April 2021

  16. Whitney Numbers for Poset Cones

    Galen Dorpalen-Barry, Jang Soo Kim, Victor Reiner in Order
    Article 25 January 2021

  17. Realization theory for poset-causal systems: controllability, observability and duality

    Poset-causal systems form a class of decentralized systems introduced by Shah and Parrilo (47th IEEE conference on decision and control, IEEE, 2008)...

    S. ter Horst, J. Zeelie in Mathematics of Control, Signals, and Systems
    Article 20 March 2021

  18. Poset Ramsey Numbers for Boolean Lattices

    Linyuan Lu, Joshua C. Thompson in Order
    Article 01 July 2021

  20. What is \(-Q\) for a poset Q?

    Taiga Yoshida, Masahiko Yoshinaga in Order
    Article 20 April 2022
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