Investigating the metric dimension of an intersection graph in a commutative ring

Suppose R is a uniform commutative ring. The R-dependent intersection graph, represented by the symbol G (R), is a simple, directionless graph whose set of vertices is the set of all non-trivial ideals of R and two distinct vertices 𝐼, 𝐽 are joined if and only if 𝐼 ∩ 𝐽 ≠ (0). In this paper, the metric dimension of intersection graphs associated with commutative rings is examined and some metric dimension formulas for intersection graphs are provided. Suppose R is a uniform commutative ring. The R-dependent intersection graph, represented by the symbol G (R), is a simple, directionless graph whose set of vertices is the set of all non-trivial ideals of R and two distinct vertices  are joined if and only if  ‎. In this paper, the metric dimension of intersection graphs associated with commutative rings is examined and some metric dimension formulas for intersection graphs are provided.