Articles producció científica> Enginyeria Informàtica i Matemàtiques

On the (adjacency) metric dimension of corona and strong product graphs and their local variants: combinatorial and computational results

  • Identification data

    Identifier: imarina:5133136
  • Authors:

    Fernau, Henning
    Rodriguez-Velazquez, Juan A.
  • Others:

    Author, as appears in the article.: Fernau, Henning; Rodriguez-Velazquez, Juan A.;
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Rodríguez Velázquez, Juan Alberto
    Keywords: Np-hardness Metric dimension Local metric dimension Adjacency dimension
    Abstract: The metric dimension is quite a well-studied graph parameter. Recently, the adjacency metric dimension and the local metric dimension have been introduced. We combine these variants and introduce the local adjacency metric dimension. We show that the (local) metric dimension of the corona product of a graph of order and some non-trivial graph equals times the (local) adjacency metric dimension of . This strong relation also enables us to infer computational hardness results for computing the (local) metric dimension, based on according hardness results for (local) adjacency metric dimension that we also provide. We also study combinatorial properties of the strong product of graphs and emphasize the role of different types of twins play in determining in particular the adjacency metric dimension of a graph.
    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: 2024-07-20
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://www.sciencedirect.com/science/article/pii/S0166218X17305401
    Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Discrete Applied Mathematics. 236 (C): 183-202
    APA: Fernau, Henning; Rodriguez-Velazquez, Juan A.; (2018). On the (adjacency) metric dimension of corona and strong product graphs and their local variants: combinatorial and computational results. Discrete Applied Mathematics, 236(C), 183-202. DOI: 10.1016/j.dam.2017.11.019
    Article's DOI: 10.1016/j.dam.2017.11.019
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2018
    Publication Type: Journal Publications
  • Keywords:

    Applied Mathematics,Discrete Mathematics and Combinatorics,Mathematics, Applied
    Np-hardness
    Metric dimension
    Local metric dimension
    Adjacency dimension
    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
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