Simion's type \(B\) associahedron is a pulling triangulation of the Legendre polytope

DOI10.1007/s00454-018-9973-4zbMath1395.52014arXiv1607.06061OpenAlexW2962843400WikidataQ130117245 ScholiaQ130117245MaRDI QIDQ724945

Gábor Hetyei, Richard Ehrenborg, Margaret A. Readdy

Publication date: 26 July 2018

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.06061

zbMATH Keywords

flag complexcyclohedronBott-Taubes polytopecompressed polytopesStasheff polytopetype \(A\) root polytope

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Symmetry properties of polytopes (52B15) Combinatorial aspects of simplicial complexes (05E45)

Related Items (5)

Classification of uniform flag triangulations of the boundary of the full root polytope of type A ⋮ Unconditional reflexive polytopes ⋮ Realizing Simion's type \(B\) associahedron as a pulling triangulation of the Legendre polytope ⋮ Refined face count in uniform triangulations of the Legendre polytope ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Counting genus one partitions and permutations
• Excedances of affine permutations
• Delannoy orthants of Legendre polytopes
• Two signed associahedra
• A type-B associahedron.
• Geometry of \(\nu\)-Tamari lattices in types \(A\) and \(B\)
• The associahedron and triangulations of the \(n\)-gon
• \(h^\ast\)-vectors, Eulerian polynomials and stable polytopes of graphs
• Many non-equivalent realizations of the associahedron
• Root polytopes and abelian ideals
• Root polytopes, triangulations, and the subdivision algebra. I
• Root Polytopes and Growth Series of Root Lattices
• Root polytopes, triangulations, and the subdivision algebra, II
• Permutohedra, Associahedra, and Beyond
• Simplex, associahedron, and cyclohedron
• Polytopes of roots of type A_N
• Decompositions of Rational Convex Polytopes
• On the self-linking of knots

This page was built for publication: Simion's type \(B\) associahedron is a pulling triangulation of the Legendre polytope