When the Annihilator Graph of a Commutative Ring Is Planar or Toroidal?

Mohammad Javad Nikmehr, Reza Nikandish, Moharam Bakhtyiari

Let $R$ be a commutative ring with identity, and let $Z(R)$ be the set of zero-divisors of $R$. The annihilator graph of $R$ is defined as the undirected graph $AG(R)$ with the ver…