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math.COOct 1, 2012
14
citations (OpenAlex)
authors
  • Vincent Pilaud
  • Christian Stump
institutions
  • Centre National de la Recherche Scientifique
  • École Polytechnique
  • Freie Universität Berlin
  • Laboratoire d'Informatique de l'École Polytechnique
  • Leibniz University Hannover
arXiv abstractPDF
paper

Vertex barycenter of generalized associahedra

arXiv:1210.3314 · doi:10.1090/S0002-9939-2015-12357-X

Abstract

We show that the vertex barycenter of generalized associahedra and permutahedra coincide for any finite Coxeter system.

15 pages, 4 figures, final version with minor corrections

References in corpus (2)

  • Catalan numbers and Schubert polynomials for w=1(n+1)...2
  • Permutahedra and Associahedra: Generalized associahedra from the geometry of finite reflection groups

Cited by in corpus (7)

  • Brick polytopes of spherical subword complexes and generalized associahedra
  • Associahedra via spines
  • Polytopal realizations of finite type g-vector fans
  • Compatibility fans for graphical nested complexes
  • Celebrating Loday's Associahedron
  • Braid moves in commutation classes of the symmetric group
  • Signed tree associahedra
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