  Let $R$ be a commutative ring with identity $1\neq 0$. In this paper, we
continue the study started in [10] concerning when the extended zero-divisor
graph of $R$, $\overline{\Gamma}(R)$, is complemented. We also study when
$\overline{\Gamma}(R)$ is uniquely complemented. We give a complete
characterization of when $\overline{\Gamma}(R)$ of a finite ring is
complemented. Various examples are given using the direct product of rings and
idealizations of modules.
