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),...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2015-02-01
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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. |
first_indexed | 2024-12-24T03:39:04Z |
format | Article |
id | doaj.art-2ed5c36964be4866808f30099b7bef21 |
institution | Directory Open Access Journal |
issn | 2391-5455 |
language | English |
last_indexed | 2024-12-24T03:39:04Z |
publishDate | 2015-02-01 |
publisher | De Gruyter |
record_format | Article |
series | Open Mathematics |
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 AT yeroismaelg erratumtoonthestrongmetricdimensionofthestrongproductsofgraphs AT rodriguezvelazquezjuana erratumtoonthestrongmetricdimensionofthestrongproductsofgraphs |