Generating functions for the cd-indices of simplices and cubes

DOI10.54550/ECA2024V4S3R18MaRDI QIDQ6659987

Richard Ehrenborg

Publication date: 9 January 2025

Published in: Enumerative Combinatorics and Applications (Search for Journal in Brave)

zbMATH Keywords

exponential generating functions\textbf{cd}-indices of simplices and cubespyramid and prism operators

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)

Cites Work

• Context-free grammars for permutations and increasing trees
• Euler flag enumeration of Whitney stratified spaces
• Context-free grammars, differential operators and formal power series
• A new index for polytopes
• Coproducts and the cd-index
• Flag \(f\)-vectors and the \(cd\)-index
• The c--2d-index of oriented matroids
• William Chen grammars and derivations in trees and arborescences
• Monotonicity of the cd-index for polytopes
• The Dumont ansatz for the Eulerian polynomials, peak polynomials and derivative polynomials

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