Covering functionals of convex polytopes with few vertices

Xia Li, Lingxu Meng, Senlin Wu

Published 2021-11-14Version 1

By using elementary yet interesting observations and refining techniques used in a recent work by Fei Xue et al., we present new upper bounds for covering functionals of convex polytopes in $\mathbb{R}^n$ with few vertices. In these estimations, no information other than the number of vertices of the convex polytope is used.