Minkowski’s second theorem on successive minima gives an upper bound on the volume of a convex body in terms of its successive minima. We study the problem to generalize Minkowsk...
Christian Bey, Martin Henk, Matthias Henze, Eva Li...
For convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen along the boundary of K. In particular, we determine asymptotic properties of the volum...
We define the base polytope B(P, g) of a partially ordered set P and a supermodular function g on the ideals ofP as the convex hull of the incidence vectors of all linear extensio...