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Open Mathematics
Article . 2015 . Peer-reviewed
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Open Mathematics
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Open Mathematics
Article . 2015
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Erratum to “On the strong metric dimension of the strong products of graphs”

Erratum to ``On the strong metric dimension of the strong products of graphs''
Authors: Kuziak Dorota; Yero Ismael G.; Rodríguez-Velázquez Juan A.;

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

Abstract

Abstract 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.

Keywords

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), Distance in graphs, strong metric basis, Graph operations (line graphs, products, etc.), QA1-939, strong resolving set, strong metric dimension, Mathematics, strong product graphs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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