We show that the minimum number of distinct edge-directions of a convex polytope with n vertices in Rd is θ(dn1/(d−1)).
Erdős conjectured in 1946 that every $n$-point set $P$ in convex position in the plane contains a po...
We define two $d$-polytopes, both with $2d+2$ vertices and $(d+3)(d-1)$ edges, which reduce to the c...
Abstract. We give a lower bound for the number of vertices of a general d-dimensional polytope with ...
AbstractWe show that the minimum number of distinct edge-directions of a convex polytope with n vert...
AbstractWe show that the minimum number of distinct edge-directions of a convex polytope with n vert...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
Erdős conjectured in 1946 that every n-point set P in convex position in the plane contains a point...
<p>Erdős conjectured in 1946 that every $n$-point set $P$ in convex position in the plane contains a...
Erdős conjectured in 1946 that every $n$-point set $P$ in convex position in the plane contains a po...
We define two $d$-polytopes, both with $2d+2$ vertices and $(d+3)(d-1)$ edges, which reduce to the c...
Abstract. We give a lower bound for the number of vertices of a general d-dimensional polytope with ...
AbstractWe show that the minimum number of distinct edge-directions of a convex polytope with n vert...
AbstractWe show that the minimum number of distinct edge-directions of a convex polytope with n vert...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
Erdős conjectured in 1946 that every n-point set P in convex position in the plane contains a point...
<p>Erdős conjectured in 1946 that every $n$-point set $P$ in convex position in the plane contains a...
Erdős conjectured in 1946 that every $n$-point set $P$ in convex position in the plane contains a po...
We define two $d$-polytopes, both with $2d+2$ vertices and $(d+3)(d-1)$ edges, which reduce to the c...
Abstract. We give a lower bound for the number of vertices of a general d-dimensional polytope with ...