On the k-metric dimension of metric spaces
Keywords:Metric spaces, metric dimension, k-metric dimension
The metric dimension of a general metric space was defined in 1953, applied to the set of vertices of a graph metric in 1975, and developed further for metric spaces in 2013. It was then generalised in 2015 to the k-metric dimension of a graph for each positive integer k, where k = 1 corresponds to the original definition. Here, we discuss the k-metric dimension of general metric spaces.