Author, as appears in the article.: Kuziak, Dorota; Luz Puertas, Maria; Rodriguez-Velazquez, Juan A.; Yero, Ismael G.;
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Rodríguez Velázquez, Juan Alberto
Keywords: Strong resolving graph Strong metric dimension Graphs transformations
Abstract: The strong resolving graph of a connected graph was introduced in Oellermann and Peters-Fransen (2007) as a tool to study the strong metric dimension of . Basically, it was shown that the problem of finding the strong metric dimension of can be transformed to the problem of finding the vertex cover number of . Since then, several articles on the strong metric dimension of graphs which are using this tool have been published. However, the tool itself has remained unnoticed as a properly structure. In this paper, we survey the state of knowledge on the strong resolving graphs, and also derive some new results regarding its properties.
Thematic Areas: Mathematics, applied Matemática / probabilidade e estatística Linguística e literatura Interdisciplinar Ensino Engenharias iv Engenharias iii Engenharias i Discrete mathematics and combinatorics Ciências biológicas i Ciência da computação Applied mathematics
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: juanalberto.rodriguez@urv.cat
Author identifier: 0000-0002-9082-7647
Record's date: 2024-09-07
Papper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://www.sciencedirect.com/science/article/pii/S0166218X17305346?via%3Dihub
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Discrete Applied Mathematics. 236 (C): 270-287
APA: Kuziak, Dorota; Luz Puertas, Maria; Rodriguez-Velazquez, Juan A.; Yero, Ismael G.; (2018). Strong resolving graphs: the realization and the characterization problems. Discrete Applied Mathematics, 236(C), 270-287. DOI: 10.1016/j.dam.2017.11.013
Article's DOI: 10.1016/j.dam.2017.11.013
Entity: Universitat Rovira i Virgili
Journal publication year: 2018
Publication Type: Journal Publications
Repositori URV