Articles producció científicaEnginyeria Informàtica i Matemàtiques

Strong resolving graphs: the realization and the characterization problems

  • Identification data

    Identifier:  imarina:5133135
    Handle: https://hdl.handle.net/20.500.11797/imarina5133135
    Authors:  Kuziak, Dorota; Luz Puertas, Maria; Rodriguez-Velazquez, Juan A; Yero, Ismael G
    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.

  • Others:

    Link to the original source: https://www.sciencedirect.com/science/article/pii/S0166218X17305346?via%3Dihub
    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
    Paper original source: Discrete Applied Mathematics. 236 (C): 270-287
    Article's DOI: 10.1016/j.dam.2017.11.013
    Journal publication year: 2018
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/publishedVersion
    Record's date: 2025-02-08
    URV's Author/s: GONZÁLEZ YERO, ISMAEL / Rodríguez Velázquez, Juan Alberto
    Department: Enginyeria Informàtica i Matemàtiques
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Publication Type: Journal Publications
    Author, as appears in the article.: Kuziak, Dorota; Luz Puertas, Maria; Rodriguez-Velazquez, Juan A; Yero, Ismael G
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    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
    Author's mail: juanalberto.rodriguez@urv.cat

  • Keywords:

    Strong resolving graph
    Strong metric dimension
    Graphs transformations
    Applied Mathematics
    Discrete Mathematics and Combinatorics
    Mathematics
    Applied
    Matemática / probabilidade e estatística
    Linguística e literatura
    Interdisciplinar
    Ensino
    Engenharias iv
    Engenharias iii
    Engenharias i
    Ciências biológicas i
    Ciência da computação

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