AbstractThe objective of this paper is to study a special family of Minkowski sums, that is of polytopes relatively in general position. We show that the maximum number of faces in the sum can be attained by this family. We present a new linear equation that is satisfied by f-vectors of the sum and the summands. We study some of the implications of this equation
Abstract. We derive tight expressions for the maximum number of k-faces, 0 ≤ k ≤ d−1, of the Minkows...
International audiencePrompted by the development of algorithms for analysing geometric tolerancing,...
We present a tight bound on the exact maximum complexity of Minkowski sums of convex polyhedra in R3...
We derive tight expressions for the maximum number of k-faces, k=0,...,d-1, of the Minkowski sum, P_...
We consider the problem of listing faces of the Minkowski sum of several V-polytopes in R^d. An algo...
The objective of this paper is to present two types of results on Minkowski sums of convex polytopes...
The objective of this paper is to present two types of results on Minkowski sums of convex polytopes...
Abstract. In this paper we settle the long-standing question regarding the combinatorial complexity ...
We derive tight bounds for the maximum number of k-faces, 0 ≤ k ≤ d−1, of the Minkowski sum, P1 +P2,...
We derive tight expressions for the maximum number of $k$-faces, $0\le{}k\le{}d-1$, of the Minkowski...
This is a short paper on different proofs for special cases of a conjecture about Minkowski sums of ...
We derive tight expressions for the maximum number of k-faces, 0 ≤ k ≤ d − 1, of the Minkowski sum, ...
We derive tight expressions for the maximum number of k-faces, 0 ≤ k ≤ d−1, of the Minkowski sum, P1...
<p>We derive tight expressions for the maximum number of $k$-faces, $0\le{}k\le{}d-1$, of the Minkow...
We derive tight bounds for the maximum number of k-faces, 0 ≤ k ≤ d − 1, of the Minkowski sum, P1 ⊕ ...
Abstract. We derive tight expressions for the maximum number of k-faces, 0 ≤ k ≤ d−1, of the Minkows...
International audiencePrompted by the development of algorithms for analysing geometric tolerancing,...
We present a tight bound on the exact maximum complexity of Minkowski sums of convex polyhedra in R3...
We derive tight expressions for the maximum number of k-faces, k=0,...,d-1, of the Minkowski sum, P_...
We consider the problem of listing faces of the Minkowski sum of several V-polytopes in R^d. An algo...
The objective of this paper is to present two types of results on Minkowski sums of convex polytopes...
The objective of this paper is to present two types of results on Minkowski sums of convex polytopes...
Abstract. In this paper we settle the long-standing question regarding the combinatorial complexity ...
We derive tight bounds for the maximum number of k-faces, 0 ≤ k ≤ d−1, of the Minkowski sum, P1 +P2,...
We derive tight expressions for the maximum number of $k$-faces, $0\le{}k\le{}d-1$, of the Minkowski...
This is a short paper on different proofs for special cases of a conjecture about Minkowski sums of ...
We derive tight expressions for the maximum number of k-faces, 0 ≤ k ≤ d − 1, of the Minkowski sum, ...
We derive tight expressions for the maximum number of k-faces, 0 ≤ k ≤ d−1, of the Minkowski sum, P1...
<p>We derive tight expressions for the maximum number of $k$-faces, $0\le{}k\le{}d-1$, of the Minkow...
We derive tight bounds for the maximum number of k-faces, 0 ≤ k ≤ d − 1, of the Minkowski sum, P1 ⊕ ...
Abstract. We derive tight expressions for the maximum number of k-faces, 0 ≤ k ≤ d−1, of the Minkows...
International audiencePrompted by the development of algorithms for analysing geometric tolerancing,...
We present a tight bound on the exact maximum complexity of Minkowski sums of convex polyhedra in R3...
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