Rigidity, graphs and Hausdorff dimension

N. Chatzikonstantinou, A. Iosevich, S. Mkrtchyan +1

For a compact set $E\subset {\mathbb{R}}^d$ and a connected graph $G$ on $k+1$ vertices, we define a $G$-framework to be a collection of $k+1$ points in $E$ such that the distance be…