The toric \(h\)-vector of a cubical complex in terms of noncrossing partition statistics

DOI10.1007/S00026-014-0243-8zbMath1331.52017arXiv1302.5020OpenAlexW2062690496MaRDI QIDQ2256974

Sarah Birdsong

Publication date: 23 February 2015

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5020

zbMATH Keywords

noncrossing partitioncubical complextoric \(h\)-vectorAdin \(h\)-vector

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

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• On the structure of the lattice of noncrossing partitions
• Parking functions and noncrossing partitions
• Flags and shellings of Eulerian cubical posets
• On the Stanley ring of a cubical complex
• A new cubical \(h\)-vector
• A second look at the toric \(h\)-polynomial of a cubical complex
• Noncrossing partitions
• Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
• Lectures on the Combinatorics of Free Probability
• Plane Trees H-Vectors of Shellable Cubical Complexes
• Lectures on Polytopes
• Convex Polytopes
• The short toric polynomial

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