Christophe Weibel, Komei Fukuda
Abstract
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We consider the problem of listing faces of the Minkowski sum of several V-polytopes in R^d. An algorithm for listing all faces of dimension up to j is presented, for any given 0<=j<=d-1. It runs in time polynomial in the sizes of input and output.
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We consider the problem of listing faces of the Minkowski sum of several V-polytopes in R^d. An algorithm for listing all faces of dimension up to j is presented, for any given 0<=j<=d-1. It runs in time polynomial in the sizes of input and output.
Key concepts: Polytope, Minkowski addition, Listing (finance), Dimension (graph theory), Minkowski space, Combinatorics, Mathematics, Polynomial