Bounds for Entries of $\gamma$-Vectors of Flag Homology Spheres

DOI10.1137/17M1110298zbMath1441.05253arXiv1612.01169OpenAlexW2734499284MaRDI QIDQ5357962

Jean-Philippe Labbé, Eran Nevo

Publication date: 18 September 2017

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

Full work available at URL: https://arxiv.org/abs/1612.01169

zbMATH Keywords

simplicial complexhomology spheresflag complexface vectors

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Polyhedral manifolds (52B70) Combinatorial aspects of simplicial complexes (05E45)

Related Items (max. 100)

Geometric realization of \(\gamma \)-vectors of subdivided cross polytopes ⋮ Induced equators in flag spheres ⋮ On the Gamma-Vector of Symmetric Edge Polytopes

Cites Work

• Unnamed Item
• On the generalized lower bound conjecture for polytopes and spheres
• On the cd-index and \(\gamma \)-vector of S\(^{\ast}\)-shellable CW-spheres
• A characterization of simplicial polytopes with \(g_{2}=1\)
• On \(\gamma \)-vectors satisfying the Kruskal-Katona inequalities
• The number of faces of a simplicial convex polytope
• Domination numbers and homology
• The flag upper bound theorem for 3- and 5-manifolds
• Combinatorics and commutative algebra.
• The Euler characteristic of a nonpositively curved, piecewise Euclidean manifold
• The \(\gamma \)-vector of a barycentric subdivision
• Real root conjecture fails for five- and higher-dimensional spheres
• Stellar Theory for Flag Complexes
• UPPER BOUND THEOREM FOR ODD‐DIMENSIONAL FLAG TRIANGULATIONS OF MANIFOLDS
• A FLAG VECTOR OF A 3‐SPHERE THAT IS NOT THE FLAG VECTOR OF A 4‐POLYTOPE
• Higher minors and van Kampen's obstruction
• Cubical realizations of flag nestohedra and proof of Gal's conjecture for them
• Sufficiency of McMullen’s conditions for 𝑓-vectors of simplicial polytopes
• Lectures on Polytopes
• A Combinatorial Analogue of Poincaré's Duality Theorem

This page was built for publication: Bounds for Entries of $\gamma$-Vectors of Flag Homology Spheres