On the metric dimension of strongly annihilating-ideal graphs of commutative rings

Let be a commutative ring with identity and () be the set of ideals with non-zero annihilator. The strongly annihilating-ideal graph of is defined as the graph SAG() with the vertex set ()* = () \{0} and two distinct vertices I and J are adjacent if and only if I ∩ Ann(J) ≠ (0) and J ∩ Ann(I) ≠ (0). In this paper, we study the metric dimension of SAG() and some metric dimension formulae for strongly annihilating-ideal graphs are given