Realizing Simion's type B associahedron as a pulling triangulation of the Legendre polytope

Research output: Contribution to conferencePaperpeer-review

Abstract

We show that Simion's type B associahedron is combinatorially equivalent to a pulling triangulation of a type B root polytope called the Legendre polytope. Furthermore, we show that every pulling triangulation of the Legendre polytope yields a flag complex. Our triangulation refines a decomposition of the Legendre polytope given by Cho. We extend Cho's cyclic group action to the triangulation in such a way that it corresponds to rotating centrally symmetric triangulations of a regular (2n + 2)-gon.

Original languageEnglish
StatePublished - 2006
Event29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 - London, United Kingdom
Duration: Jul 9 2017Jul 13 2017

Conference

Conference29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017
Country/TerritoryUnited Kingdom
CityLondon
Period7/9/177/13/17

Bibliographical note

Publisher Copyright:
© 29th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.

Keywords

  • Associahedron
  • Root polytope
  • Type B

ASJC Scopus subject areas

  • Algebra and Number Theory

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