Stars of Empty Simplices

Matthias Reitzner, Daniel Temesvari

Let $X=\{x_1,\dots ,x_n\}\subset {\mathbb{R}}^d$ be an $n$-element point set in general position. For a $k$-element subset $\{x_{i_1},\dots ,x_{i_k}\}\subset X$ let the degree ${\rm…