2 problems

Rodríguez-Velázquez et al.'s conjecture. The metric dimension of the strong product of the two paths is

Let $P_{n_1}$ and $P_{n_2}$ be paths on $n_1$ and $n_2$ vertices, respectively, and let $\operatorname{dim}(G)$ denote the metric dimension of a graph $G$. For integers $n_1,n_2$ s…