AbstractThe problem of determining the largest volume of a (d + 2)-point set in Ed of unit diameter is settled. The extremal polytopes are described completely
Assume that a set of imprecise points is given, where each point is specified by a region in which ...
Approximating convex bodies is a fundamental question in geometry and has applications to a wide var...
In this paper, the isodiametric problem for centrally symmetric convex bodies in the Euclidean d-spa...
AbstractThe problem of determining the largest volume of a (d + 2)-point set in Ed of unit diameter ...
Abstract. In this paper we investigate the problem of finding the maximum volume polytopes, inscribe...
International audienceFor a convex body K ⊂ R n , let K z = {y ∈ R n : y−z, x−z ≤ 1, for all x ∈ K} ...
For a convex body K ⊂ R n , let K z = {y ∈ R n : y−z, x−z ≤ 1, for all x ∈ K} be the polar body of K...
For a convex body $K \subset \R^n$, let $$K^z = \{y\in \R^n : \langle y-z, x-z\rangle\le 1, \mbox{\ ...
We will discuss the maximal values of the volume product $\mathcal{P}(K)=\min_{z\in {\rm int}(K)}|K|...
International audienceWe develop an algorithm to construct a convex polytope P with n vertices, cont...
AbstractThe diameter of a convex set C is the length of the longest segment in C, and the local diam...
A dissection of a convex d-polytope is a partition of the polytope into d-simplices whose v...
A dissection of a convex d-polytope is a partition of the polytope into d-simplices whose v...
htmlabstractIn this paper, the isodiametric problem for centrally symmetric convex bodies in the Euc...
htmlabstractIn this paper, the isodiametric problem for centrally symmetric convex bodies in the Euc...
Assume that a set of imprecise points is given, where each point is specified by a region in which ...
Approximating convex bodies is a fundamental question in geometry and has applications to a wide var...
In this paper, the isodiametric problem for centrally symmetric convex bodies in the Euclidean d-spa...
AbstractThe problem of determining the largest volume of a (d + 2)-point set in Ed of unit diameter ...
Abstract. In this paper we investigate the problem of finding the maximum volume polytopes, inscribe...
International audienceFor a convex body K ⊂ R n , let K z = {y ∈ R n : y−z, x−z ≤ 1, for all x ∈ K} ...
For a convex body K ⊂ R n , let K z = {y ∈ R n : y−z, x−z ≤ 1, for all x ∈ K} be the polar body of K...
For a convex body $K \subset \R^n$, let $$K^z = \{y\in \R^n : \langle y-z, x-z\rangle\le 1, \mbox{\ ...
We will discuss the maximal values of the volume product $\mathcal{P}(K)=\min_{z\in {\rm int}(K)}|K|...
International audienceWe develop an algorithm to construct a convex polytope P with n vertices, cont...
AbstractThe diameter of a convex set C is the length of the longest segment in C, and the local diam...
A dissection of a convex d-polytope is a partition of the polytope into d-simplices whose v...
A dissection of a convex d-polytope is a partition of the polytope into d-simplices whose v...
htmlabstractIn this paper, the isodiametric problem for centrally symmetric convex bodies in the Euc...
htmlabstractIn this paper, the isodiametric problem for centrally symmetric convex bodies in the Euc...
Assume that a set of imprecise points is given, where each point is specified by a region in which ...
Approximating convex bodies is a fundamental question in geometry and has applications to a wide var...
In this paper, the isodiametric problem for centrally symmetric convex bodies in the Euclidean d-spa...