Classification of uniform flag triangulations of the boundary of the full root polytope of type A

DOI10.1007/s10474-020-01099-2zbMath1488.52018arXiv1901.07113OpenAlexW3107994353MaRDI QIDQ822615

Gábor Hetyei, Richard Ehrenborg, Margaret A. Readdy

Publication date: 22 September 2021

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07113

zbMATH Keywords

Catalan numberBessel functionflag complexcyclohedronDelannoy numberface vectormatching ensembletype \(B\) associahedron

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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• Counting genus one partitions and permutations
• Dyck path triangulations and extendability
• Simion's type \(B\) associahedron is a pulling triangulation of the Legendre polytope
• Triangulations. Structures for algorithms and applications
• Delannoy orthants of Legendre polytopes
• A type-B associahedron.
• Geometry of \(\nu\)-Tamari lattices in types \(A\) and \(B\)
• Refined face count in uniform triangulations of the Legendre polytope
• Root polytopes and abelian ideals
• Why Delannoy numbers?
• Triangulations of $\Delta_{n-1} \times \Delta_{d-1}$ and Tropical Oriented Matroids
• Root Polytopes and Growth Series of Root Lattices
• Permutohedra, Associahedra, and Beyond
• Polytopes of roots of type A_N
• Decompositions of Rational Convex Polytopes

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