  In this paper, we study growth rates of Coxeter systems with Davis complexes
of dimension at most $2$. We show that if the Euler characteristic $\chi$ of
the nerve of a Coxeter system is vanishing (resp. positive), then its growth
rate is a Salem (resp. a Pisot) number. In this way, we extend results due to
Floyd and Parry. Moreover, in the case where $\chi$ is negative, we provide
infinitely many non-hyperbolic Coxeter systems whose growth rates are Perron
numbers.
