Delannoy orthants of Legendre polytopes

DOI10.1007/s00454-008-9131-5zbMath1200.05015OpenAlexW2063740845MaRDI QIDQ1042456

Gábor Hetyei

Publication date: 14 December 2009

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

Full work available at URL: https://doi.org/10.1007/s00454-008-9131-5

zbMATH Keywords

Legendre polynomialsCatalan numberscentrally symmetric polytopesDelannoy numberscentral binomial coefficientscompressed triangulationsroot polytopes

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Factorials, binomial coefficients, combinatorial functions (05A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Polynomials in number theory (11C08)

Related Items (8)

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

Uses Software

• OEIS

Cites Work

• On linear systems with integral valued solutions
• Compressed polytopes and statistical disclosure limitation
• Central Delannoy numbers and balanced Cohen-Macaulay complexes
• Orthogonal polynomials represented by CW-spheres
• \(h^\ast\)-vectors, Eulerian polynomials and stable polytopes of graphs
• Tchebyshev triangulations of stable simplicial complexes
• Why Delannoy numbers?
• On unimodular matrices
• Permutohedra, Associahedra, and Beyond
• Decompositions of Rational Convex Polytopes
• On the Solution of Linear Difference Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Delannoy orthants of Legendre polytopes