The non-neighbourliness of centrally symmetric convex polytopes having many vertices

DOI10.1016/0097-3165(91)90067-QzbMath0738.52012OpenAlexW2035444437MaRDI QIDQ1180562

Geoffrey R. Burton

Publication date: 27 June 1992

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(91)90067-q

zbMATH Keywords

convex \(d\)-polytope

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Special polytopes (linear programming, centrally symmetric, etc.) (52B12)

Related Items (6)

From Acute Sets to Centrally Symmetric 2-Neighborly Polytopes ⋮ An infinite family of nearly neighborly centrally symmetric 3-spheres ⋮ Face numbers: the upper bound side of the story ⋮ Remarks on the upper bound theorem. ⋮ On face numbers of manifolds with symmetry ⋮ Ear decomposition and balanced neighborly simplicial manifolds

Cites Work

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• Neighbourliness of centrally symmetric polytopes in high dimensions
• Diagrams for centrally symmetric polytopes
• The Closest Packing of Spherical Caps in n Dimensions

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