On the k-metric dimension of metric spaces

Authors

  • Alan F. Beardon University of Cambridge, United Kingdom
  • Juan Alberto Rodrı́guez-Velázquez Universitat Rovira i Virgili, Spain

DOI:

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

Keywords:

Metric spaces, metric dimension, k-metric dimension

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.

Published

2018-08-26

Issue

Section

Articles