Adjacency properties of extreme points of a convex polyhedron are discussed. In mathematical programming we are quite often faced with problems of characterizing the ...

Inhalt: In this course we will study some basic concepts of Convex and Integral Geometry and at the end we will get in touch with a few classical results from Stochastic geometry. In the first part of ...

Stochastic geometry is an area of mathematics that investigates random spatial patterns and the probabilistic foundations of geometric structures. A key focus within this field is the study of random ...

The Hirsch conjecture states that the combinatorial diameter of every convex d-polytope with n facets is bounded by n-d. Hirsch Conjecture (1957): Let P be a convex d-polytope with n facets. Then the ...