On metric dimension of some rotationally symmetric graphs
type: Item
instance of: scholarly article
title: On metric dimension of some rotationally symmetric graphs
zbMATH Open document ID: 1264.05041
DOI: 10.1155/2013/724049
author: Murtaza Ali
author: M. T. Rahim
author: Gohar Ali
author: Usman Ali
published in: ISRN Combinatorics
publication date: 2013-06-03T00:00:00Z
review text: Summary: A family \(\mathcal{G}\) of connected graphs is a family with constant metric dimension if \(\dim(G)\) is finite and does not depend upon the choice of \(G\) in \(\mathcal{G}\). In this paper, we show that the graph \(A^\ast_n\) and the graph \(A^p_n\) obtained from the antiprism graph have constant metric dimension.
Mathematics Subject Classification ID: 05C12
Mathematics Subject Classification ID: 05C40
Mathematics Subject Classification ID: 05C75
zbMATH DE Number: 6169812
zbMATH Keywords: metric basis
zbMATH Keywords: resolving set
zbMATH Keywords: antiprism
zbMATH Keywords: metric dimension
Wikidata QID: Q58999186
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/724049
OpenAlex ID: W2006310258
cites work: Resolvability in graphs and the metric dimension of a graph
cites work: On the metric dimension of some families of graphs
cites work: Q3565958
cites work: Q3512801
description: scientific article; zbMATH DE number 6169812