Determining Generic Point Configurations From Unlabeled Path or Loop Lengths

Ioannis Gkioulekas, Steven J. Gortler, Louis Theran +1

Let $\mathbf{p}$ be a configuration of $n$ points in ${\mathbb{R}}^d$ for some $n$ and some $d\ge 2$. Each pair of points defines an edge, which has a Euclidean length in the config…