On the edge metric dimension for the random graph

Let $G(V, E)$ be a connected simple undirected graph. In this paper we prove that the edge metric dimension (introduced by Kelenc, Tratnik and Yero) of the Erdős-Rényi random graph $G(n, p)$ is given by: $\textrm{edim}(G(n, p)) = (1 + o(1))\frac{4\log(n)}{\log(1/q)},$ where $q = 1 - 2p(1-p)^2(2-p)$.

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