Non-negative cd-coefficients of Gorenstein* posets.

DOI10.1016/j.disc.2003.07.001zbMath1033.06001OpenAlexW2127503095MaRDI QIDQ1421535

Nathan Reading

Publication date: 26 January 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2003.07.001

zbMATH Keywords

ranked posetGorensteincd-IndexCharney-Davis conjectureEulerian posetFlag \(f\)-vector

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorics of partially ordered sets (06A07) Algebraic combinatorics (05E99)

Related Items (3)

Squarefree \( P\)-modules and the \({\mathbf {cd}}\)-index ⋮ Lifting inequalities for polytopes ⋮ The 𝑐𝑑-index: A survey

Cites Work

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• A new basis of polytopes
• Coproducts and the cd-index
• Flag \(f\)-vectors and the \(cd\)-index
• Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups
• Lower bounds for the \(cd\)-index of odd-dimensional simplicial manifolds
• Flag vectors of Eulerian partially ordered sets
• Relationships among flag \(f\)-vector inequalities for polytopes
• Combinatorics and commutative algebra.
• The Euler characteristic of a nonpositively curved, piecewise Euclidean manifold
• Signs in the 𝑐𝑑-index of Eulerian partially ordered sets
• Noncommutative enumeration in graded posets

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