Abstract
We show that the Simion type B associahedron is combinatorially equivalent to a pulling triangulation of the type A root polytope known as the Legendre polytope. Furthermore, we show that every pulling triangulation of the boundary of the Legendre polytope yields a flag complex. Our triangulation refines a decomposition of the boundary of the Legendre polytope given by Cho. Finally, 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 (2 n+ 2) -gon.
| Original language | English |
|---|---|
| Pages (from-to) | 98-114 |
| Number of pages | 17 |
| Journal | Discrete and Computational Geometry |
| Volume | 60 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1 2018 |
Bibliographical note
Publisher Copyright:© 2018, Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Bott–Taubes polytope
- Compressed polytopes
- Cyclohedron
- Flag complex
- Stasheff polytope
- Type A root polytope
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics