On a degeneracy ratio for bounded convex polytopes

13 Jul 2019 · Cvetković Nada, Lie Han Cheng ·

We consider a quantity that measures the roundness of a bounded, convex $d$-polytope in $\mathbb{R}^d$. We majorise this quantity in terms of the smallest singular value of the matrix of outer unit normals to the facets of the polytope.