Frankl-Füredi-Kalai inequalities on the \(\gamma\)-vectors of flag nestohedra

DOI10.1007/s00454-013-9567-0zbMath1307.52006arXiv1203.4715OpenAlexW2064402638MaRDI QIDQ2250047

Natalie Aisbett

Publication date: 4 July 2014

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4715

zbMATH Keywords

\(f\)-vector\(h\)-vectorsimplicial complexflaghomology spherenestohedronbuilding setgamma-vector

Mathematics Subject Classification ID

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

Related Items (6)

Geometric realization of \(\gamma \)-vectors of subdivided cross polytopes ⋮ On the Gamma-Vector of Symmetric Edge Polytopes ⋮ Gamma-positivity in combinatorics and geometry ⋮ Subword complexes and edge subdivisions. ⋮ On \(\gamma\)- and local \(\gamma\)-vectors of the interval subdivision ⋮ UPPER BOUND THEOREM FOR ODD‐DIMENSIONAL FLAG TRIANGULATIONS OF MANIFOLDS

Cites Work

• Inequalities between gamma-polynomials of graph-associahedra
• On \(\gamma \)-vectors satisfying the Kruskal-Katona inequalities
• Faces of generalized permutohedra
• Face vectors of flag complexes
• Gal's conjecture for nestohedra corresponding to complete bipartite graphs
• The \(\gamma \)-vector of a barycentric subdivision
• Real root conjecture fails for five- and higher-dimensional spheres
• Sharp upper and lower bounds for nestohedra
• Cubical realizations of flag nestohedra and proof of Gal's conjecture for them
• Permutohedra, Associahedra, and Beyond
• Shadows of colored complexes.
• Geometric realization of the $ \gamma$-vectors of 2-truncated cubes

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