On the cd-index and \(\gamma \)-vector of S\(^{\ast}\)-shellable CW-spheres

DOI10.1007/s00209-011-0917-4zbMath1256.52006arXiv1102.0096OpenAlexW1998912117MaRDI QIDQ444209

Eran Nevo, Satoshi Murai

Publication date: 13 August 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0096

zbMATH Keywords

polytope\(\gamma\)-vector\(cd\)-indexbalanced simplicial complex

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Shellability for polytopes and polyhedra (52B22)

Related Items (5)

\(M\)-vector analogue for the \(\mathbf{cd}\)-index ⋮ Bounds for Entries of $\gamma$-Vectors of Flag Homology Spheres ⋮ The flag $f$-vectors of Gorenstein* order complexes of dimension $3$ ⋮ UPPER BOUND THEOREM FOR ODD‐DIMENSIONAL FLAG TRIANGULATIONS OF MANIFOLDS ⋮ The 𝑐𝑑-index: A survey

Cites Work

• On \(\gamma \)-vectors satisfying the Kruskal-Katona inequalities
• A new index for polytopes
• Coproducts and the cd-index
• Flag \(f\)-vectors and the \(cd\)-index
• Combinatorics and commutative algebra.
• Monotonicity of the cd-index for polytopes
• The \(\gamma \)-vector of a barycentric subdivision
• Decomposition theorem for the cd-index of Gorenstein posets
• Real root conjecture fails for five- and higher-dimensional spheres
• Shadows of colored complexes.
• The cd-index of fans and posets
• Shellable Decompositions of Cells and Spheres.

This page was built for publication: On the cd-index and \(\gamma \)-vector of S\(^{\ast}\)-shellable CW-spheres