  We survey results produced from the interaction between methods in prime
characteristic and combinatorial commutative algebra. We showcase results for
edge ideals, toric varieties, Stanley-Reisner rings, and initial ideals that
were proven via Frobenius. We also discuss results for monomial ideals obtained
using Frobenius-like maps. Finally, we present results for $F$-pure rings that
were inspired by work done for Stanley-Reisner rings.
