When is the annihilating ideal graph of a zero-dimensional quasisemilocal commutative ring complemented?

Let RR be a commutative ring with identity. Let A(R)A(R) denote the collection of all annihilating ideals of RR (that is, A(R)A(R) is the collection of all ideals II of RR which admits a nonzero annihilator in RR). Let AG(R)AG(R) denote the annihilating ideal graph of RR. In this article, necessary and sufficient conditions are determined in order that AG(R)AG(R) is complemented under the assumption that RR is a zero-dimensional quasisemilocal ring which admits at least two nonzero annihilating ideals and as a corollary we determine finite rings RR such that AG(R)AG(R) is complemented under the assumption that A(R)A(R) contains at least two nonzero ideals.