The type \(B\) permutohedron and the poset of intervals as a Tchebyshev transform

DOI10.1007/s00454-023-00490-4arXiv2007.07362OpenAlexW3043671903MaRDI QIDQ6124830

Gábor Hetyei

Publication date: 2 April 2024

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

Full work available at URL: https://arxiv.org/abs/2007.07362

zbMATH Keywords

permutohedron\(cd\)-indextype \(B\)Tchebyshev triangulation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorics of partially ordered sets (06A07) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A lattice path interpretation of the diamond product
• The Tchebyshev transforms of the first and second kind
• Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
• Generalized Tchebyshev triangulations
• The cd-index of the poset of intervals and \(E_{t}\)-construction
• The Veronese construction for formal power series and graded algebras
• Canonical homeomorphisms of posets
• A new index for polytopes
• Coproducts and the cd-index
• Flag \(f\)-vectors and the \(cd\)-index
• On the Möbius function of a lower Eulerian Cohen-Macaulay poset
• Tchebyshev posets
• On the \(cd\)-variation polynomials of André and Simsun permutations
• Inequalities for \textbf{cd}-indices of joins and products of polytopes
• Realization of the Stasheff polytope
• A family of two-variable derivative polynomials for tangent and secant
• The \(f\)- and \(h\)-vectors of interval subdivisions
• Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
• Binomial Eulerian polynomials for colored permutations
• Realizations of the associahedron and cyclohedron
• Matrices of formal power series associated to binomial posets
• Tchebyshev triangulations of stable simplicial complexes
• The r-cubical lattice and a generalization of the cd-index
• Simplizialzerlegungen von beschränkter Flachheit
• A survey of subdivisions and local $h$-vectors
• Permutohedra, Associahedra, and Beyond
• Subdivisions and Local h-Vectors
• Andre Permutations, Lexicographic Shellability and the cd-Index of a Convex Polytope

This page was built for publication: The type \(B\) permutohedron and the poset of intervals as a Tchebyshev transform