Locating diametral points

Jin-ichi Itoh, Costin Vîlcu, Liping Yuan +1

Let $K$ be a convex body in ${\mathbb{R}}^d$, with $d=2,3$. We determine sharp sufficient conditions for a set $E$ composed of $1$, $2$, or $3$ points of $\mathrm{bd}K$, to contain a…