Congruence Classes of Simplex Structures in Finite Field Vector Spaces

Timothy Cheek, Joseph Cooper, Pico Gilman +6

We study a generalization of the Erdős-Falconer distance problem over finite fields. For a graph $G$, two embeddings $p,p^{\prime }:V(G)\to {\mathbb{F}}_q^d$ of a graph $G$ are congruent i…