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An open-locating-dominating set (OLD-set) is a subset of vertices of a graphsuch that every vertex in the graph has at least one neighbor in the set and notwo vertices in the graph have the same set of neighbors in the set. This is ananalogue to the well-studied identifying code in the literature. In this paper,we prove that the optimal density of the OLD-set for the infinite triangulargrid is $4/13$.

Optimal open-locating-dominating sets in infinite triangular grids