Empty Monochromatic Simplices

Oswin Aichholzer, Ruy Fabila-Monroy, Thomas Hackl +2

Let $S$ be a $k$-colored (finite) set of $n$ points in ${\mathbb{R}}^d$, $d\ge 3$, in general position, that is, no {$(d+1)$} points of $S$ lie in a common $(d-1)$}-dimensional…