Erratum to “On the strong metric dimension of the strong products of graphs”

The original version of the article was published in Open Mathematics (formerly Central European Journal of Mathematics) 13 (2015) 64–74. Unfortunately, the original version of this article contains a mistake: in Lemma 2.17 appears that for any C1-graph G and any graph H, β (G ⊠ H) ≤ β (G)(β(H)+1),...

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Main Authors: Kuziak Dorota, Yero Ismael G., Rodríguez-Velázquez Juan A.
Format: Article
Language:English
Published: De Gruyter 2015-02-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2015-0020
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author Kuziak Dorota
Yero Ismael G.
Rodríguez-Velázquez Juan A.
author_facet Kuziak Dorota
Yero Ismael G.
Rodríguez-Velázquez Juan A.
author_sort Kuziak Dorota
collection DOAJ
description The original version of the article was published in Open Mathematics (formerly Central European Journal of Mathematics) 13 (2015) 64–74. Unfortunately, the original version of this article contains a mistake: in Lemma 2.17 appears that for any C1-graph G and any graph H, β (G ⊠ H) ≤ β (G)(β(H)+1), while should be β (G ⊠ H) ≤ β(H) (β(G)+1). In this erratum we correct the lemma, its proof and some of its consequences.
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spelling doaj.art-2ed5c36964be4866808f30099b7bef212022-12-21T17:16:57ZengDe GruyterOpen Mathematics2391-54552015-02-0113110.1515/math-2015-0020math-2015-0020Erratum to “On the strong metric dimension of the strong products of graphs”Kuziak Dorota0Yero Ismael G.1Rodríguez-Velázquez Juan A.2Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans 26, 43007 Tarragona, SpainDepartamento de Matemáticas, Escuela Politécnica Superior de Algeciras, Universidad de Cádiz, Av. Ramón Puyol s/n, 11202 Algeciras, SpainDepartament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans 26, 43007 Tarragona, SpainThe original version of the article was published in Open Mathematics (formerly Central European Journal of Mathematics) 13 (2015) 64–74. Unfortunately, the original version of this article contains a mistake: in Lemma 2.17 appears that for any C1-graph G and any graph H, β (G ⊠ H) ≤ β (G)(β(H)+1), while should be β (G ⊠ H) ≤ β(H) (β(G)+1). In this erratum we correct the lemma, its proof and some of its consequences.https://doi.org/10.1515/math-2015-0020strong metric dimension strong metric basis strong resolving set strong product graphs
spellingShingle Kuziak Dorota
Yero Ismael G.
Rodríguez-Velázquez Juan A.
Erratum to “On the strong metric dimension of the strong products of graphs”
Open Mathematics
strong metric dimension
strong metric basis
strong resolving set
strong product graphs
title Erratum to “On the strong metric dimension of the strong products of graphs”
title_full Erratum to “On the strong metric dimension of the strong products of graphs”
title_fullStr Erratum to “On the strong metric dimension of the strong products of graphs”
title_full_unstemmed Erratum to “On the strong metric dimension of the strong products of graphs”
title_short Erratum to “On the strong metric dimension of the strong products of graphs”
title_sort erratum to on the strong metric dimension of the strong products of graphs
topic strong metric dimension
strong metric basis
strong resolving set
strong product graphs
url https://doi.org/10.1515/math-2015-0020
work_keys_str_mv AT kuziakdorota erratumtoonthestrongmetricdimensionofthestrongproductsofgraphs
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AT rodriguezvelazquezjuana erratumtoonthestrongmetricdimensionofthestrongproductsofgraphs