The metric dimension of the circulant graph $C(n,\pm\{1,2,3,4\})$
Discrete Mathematics
2018-01-17 v2 Combinatorics
Abstract
Let be a connected graph and let denote the distance between vertices . A metric basis for is a set of minimum cardinality such that no two vertices of have the same distances to all points of . The cardinality of a metric basis of is called the metric dimension of , denoted by . In this paper we determine the metric dimension of the circulant graphs for all values of .
Cite
@article{arxiv.1702.08178,
title = {The metric dimension of the circulant graph $C(n,\pm\{1,2,3,4\})$},
author = {Cyriac Grigorious and Thomas Kalinowski and Joe Ryan and Sudeep Stephen},
journal= {arXiv preprint arXiv:1702.08178},
year = {2018}
}