Graphs from quadratic forms and vector spaces over finite fields

Jean Godard, Lucas Reis

Let $q$ be an odd prime power, let $n\ge 2$, and let $V⊊{\mathbb{F}}_{q^n}$ be a proper ${\mathbb{F}}_q$-vector subspace. Given a nonzero quadratic form $Q(X,Y)\in \mathbb F_{q…