On Strong Centerpoints

Pradeesha Ashok, Sathish Govindarajan

Let $P$ be a set of $n$ points in ${\mathbb{R}}^d$ and $\mathcal{F}$ be a family of geometric objects. We call a point $x\in P$ a strong centerpoint of $P$ w.r.t $\mathcal{F}$ if $x…