On f-vectors of Minkowski additions of convex polytopes

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dc.creatorFukuda, Komei
dc.creatorWeibel, Christophe
dc.date2005-10-21
dc.date2006-11-02
dc.date.accessioned2026-07-07T12:41:06Z
dc.date.available2026-07-07T12:41:06Z
dc.descriptionThe objective of this paper is to present two types of results on Minkowski sums of convex polytopes. The first is about a special class of polytopes we call perfectly centered and the combinatorial properties of the Minkowski sum with their own dual. In particular, we have a characterization of face lattice of the sum in terms of the face lattice of a given perfectly centered polytope. Exact face counting formulas are then obtained for perfectly centered simplices and hypercubes. The second type of results concerns tight upper bounds for the f-vectors of Minkowski sums of several polytopes.
dc.description13 pages, submitted to Discrete & Computational Geometry
dc.identifierhttps://arxiv.org/abs/math/0510470
dc.identifierhttp://arxiv.org/abs/math/0510470
dc.identifierDiscrete & Computational Geometry, vol. 37 (2007), pp. 503-516
dc.identifierdoi:10.1007/s00454-007-1310-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219658
dc.subjectCombinatorics
dc.subject52B05
dc.titleOn f-vectors of Minkowski additions of convex polytopes
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