A family of neighborly polytopes

DOI10.1007/BF02762858zbMath0471.52004OpenAlexW2000555648MaRDI QIDQ1157586

D. W. Barnette

Publication date: 1981

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02762858

zbMATH Keywords

Hirsch conjecturecombinatorial typeneighbourly polytopefacet splitting

Mathematics Subject Classification ID

Polytopes and polyhedra (52Bxx)

Related Items

Long monotone paths on simple 4-polytopes ⋮ Many neighborly polytopes and oriented matroids ⋮ Neighborly 6-polytopes with 10 vertices ⋮ Geometry of cut-complexes and threshold logic ⋮ Construction theorems for polytopes ⋮ Small covers and quasitoric manifolds over neighborly polytopes

Cites Work

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• On the number of certain types of polyhedra
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• The Hirsch Conjecture Fails for Triangulated 27-Spheres
• Paths on Polyhedra. I
• An enumeration of simplicial 4-polytopes with 8 vertices
• The maximum numbers of faces of a convex polytope
• Diameters of Polyhedral Graphs