Diameter of Some Monomial Digraphs

Alex Kodess, Felix Lazebnik, Stephen Smith +1

Let $p$ be a prime, $e$ a positive integer, $q=p^e$, and let ${\mathbb{F}}_q$ denote the finite field of $q$ elements. Let $f_i:{\mathbb{F}}_q^2\to {\mathbb{F}}_q$ be arbitrary functi…