Metric dimension of weakly zero-divisor graphs of commutative rings

Let $R$ be a commutative ring with identity. The weakly zero-divisor graph $Gamma^{prime}(R)$ is an undirected graph whose vertex set is $Z(R)^*$ and two distinct vertices $x$ and $y$ are adjacent if and only if $Rx cap {m ann}_R(y)eq 0$ or $Ry cap {m ann}_R(x)eq 0$. In this talk, the metric dimension of weakly zero-divisor graphs are discussed.