On Kalai's conjectures concerning centrally symmetric polytopes

DOI10.1007/s00454-008-9104-8zbMath1168.52013arXiv0708.3661OpenAlexW3099537220WikidataQ56698292 ScholiaQ56698292MaRDI QIDQ1017921

Günter M. Ziegler, Raman Sanyal, Axel Werner

Publication date: 13 May 2009

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

Full work available at URL: https://arxiv.org/abs/0708.3661

zbMATH Keywords

\(f\)-vector inequalitiescentral hypersimplicescentrally symmetric convex polytopeequivariant rigidityflag vectorsHanner polytopesHansen polytopesKalai's \(3^d\)-conjecture

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Special polytopes (linear programming, centrally symmetric, etc.) (52B12)

Related Items

Two Double Poset Polytopes, Interview with Gil Kalai, Unconditional reflexive polytopes, Many 2-level polytopes from matroids, Face numbers of centrally symmetric polytopes produced from Split graphs, Isocanted alcoved polytopes., A lower bound theorem for centrally symmetric simplicial polytopes, Enumeration of 2-level polytopes, Theta rank, levelness, and matroid minors, Reflexive polytopes arising from perfect graphs, Lipschitz polytopes of posets and permutation statistics, Flag numbers and floating bodies, Nonexpansive maps with surjective displacement, Properties of faces of parallelohedra

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