Global rigidity of complete bipartite graphs

Abstract

This note gives a detailed proof of the following statement. Let $d\in \mathbb{N}$ and $m,n\ge d+1$, with $m+n\ge \left(\genfrac{}{}{0ex}{}{d+2}{2}\right)+1$. Then the complete bipartite graph $K_{m,n}$ is generically globally rigid in dimension $d$.

7 pages