Independent resolving sets in graphs

Let be a connected graph. Let be a subset of V with an order imposed on W. The k-vector is called the resolving vector of v with respect to W. The set W is called a resolving set if for any two distinct vertices In this paper we investigate the existence of independent resolving sets in Cartesian pr...

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Main Authors: B. Suganya, S. Arumugam
Format: Article
Language:English
Published: Taylor & Francis Group 2021-05-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://dx.doi.org/10.1080/09728600.2021.1963643
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author B. Suganya
S. Arumugam
author_facet B. Suganya
S. Arumugam
author_sort B. Suganya
collection DOAJ
description Let be a connected graph. Let be a subset of V with an order imposed on W. The k-vector is called the resolving vector of v with respect to W. The set W is called a resolving set if for any two distinct vertices In this paper we investigate the existence of independent resolving sets in Cartesian product and corona of graphs.
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spelling doaj.art-c8dfd0ca7c06458fae3330c4f99264b02022-12-21T19:57:25ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742021-05-0118210610910.1080/09728600.2021.19636431963643Independent resolving sets in graphsB. Suganya0S. Arumugam1Kalasalingam Academy of Research and Education, National Centre for Advanced Research in Discrete MathematicsKalasalingam Academy of Research and Education, National Centre for Advanced Research in Discrete MathematicsLet be a connected graph. Let be a subset of V with an order imposed on W. The k-vector is called the resolving vector of v with respect to W. The set W is called a resolving set if for any two distinct vertices In this paper we investigate the existence of independent resolving sets in Cartesian product and corona of graphs.http://dx.doi.org/10.1080/09728600.2021.1963643resolving setindependent resolving setmetric dimensioncoronacartesian product
spellingShingle B. Suganya
S. Arumugam
Independent resolving sets in graphs
AKCE International Journal of Graphs and Combinatorics
resolving set
independent resolving set
metric dimension
corona
cartesian product
title Independent resolving sets in graphs
title_full Independent resolving sets in graphs
title_fullStr Independent resolving sets in graphs
title_full_unstemmed Independent resolving sets in graphs
title_short Independent resolving sets in graphs
title_sort independent resolving sets in graphs
topic resolving set
independent resolving set
metric dimension
corona
cartesian product
url http://dx.doi.org/10.1080/09728600.2021.1963643
work_keys_str_mv AT bsuganya independentresolvingsetsingraphs
AT sarumugam independentresolvingsetsingraphs