This article explores the multiset dimension (Mdim) in zero divisor graphs (ZD-graphs) of commutative rings R with unity. Given a finite ring, its zero divisors form the set L (R), which defines the ZD-graph. We establish general bounds for Mdim in ZD-graphs and extend these results to various rings, including Gaussian integers, Ring of Zₙ modulo n and quotient polynomial rings. Notably, we provide a complete characterization of Mdim for Zₙ for all n. Our findings reveal structural patterns among rings with identical Mdim, emphasizing its role in isomorphism and enhancing the algebraic understanding of these graphs.
Ali et al. (Wed,) studied this question.