On the k-metric dimension of metric spaces

Alan F. Beardon, Juan Alberto Rodrı́guez-Velázquez

Abstract


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.


Keywords


Metric spaces, metric dimension, k-metric dimension

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DOI: https://doi.org/10.26493/1855-3974.1281.c7f

ISSN: 1855-3974

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