On the k-metric Dimension of Metric Spaces
Metric Geometry
2016-03-15 v1
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.
Cite
@article{arxiv.1603.04049,
title = {On the k-metric Dimension of Metric Spaces},
author = {A. F. Beardon and J. A. Rodriguez-Velazquez},
journal= {arXiv preprint arXiv:1603.04049},
year = {2016}
}