Fukuda, KomeiWeibel, Christophe2006-02-132006-02-132006-02-13200710.1007/s00454-007-1310-2https://infoscience.epfl.ch/handle/20.500.14299/223141WOS:00024617480000210629The 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 the 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.text::journal::journal article::research article