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  1. Home > Articles & Issues >
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  3. Poset vectors and ge ...
Conference paper

Poset vectors and generalized permutohedra

Dorian Croitoru (1), Suho Oh (2), Alexander Postnikov (3)
(1) WorldQuant
(2) Department of Mathematics [Ann Arbor]
(3) Department of Mathematics [MIT]
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Imported on
November 21, 2016
Published on
December 31, 2012
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
Proceedings
DOI
10.46298/dmtcs.2319
License
https://about.hal.science/hal-authorisation-v1
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Poset vectors and generalized permutohedra

Dorian Croitoru (1), Suho Oh (2), Alexander Postnikov (3)
(1) WorldQuant
(2) Department of Mathematics [Ann Arbor]
(3) Department of Mathematics [MIT]
Abstract
English
We show that given a poset $P$ and and a subposet $Q$, the integer points obtained by restricting linear extensions of $P$ to $Q$ can be explained via integer lattice points of a generalized permutohedron.
French
Nous montrons que, étant donné un poset $P$ et un subposet $Q$, les points entiers obtenus en restreignant les extensions linéaires de $P$ à $Q$peuvent être expliqués par les points entiers d’un permutohedron généralisé.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Poset
  • linear extension
  • associahedron
  • generalized permutohedra
  • polytope
  • integer lattice points
Cited by

Source: OpenCitations

  • Criterion of an Edge of a General Polyhedron of Arrangements

    Cybernetics and Systems Analysis

    Authors : O. Ol. Iemets, O. Ol. Yemets’, I. M. Polyakov ORCID

    Journal reference : Volume 54, 2018, pp. 796-805

    DOI : 10.1007/s10559-018-0081-5
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