Articles producció científicaEnginyeria Informàtica i Matemàtiques

Double domination in lexicographic product graphs

  • Identification data

    Identifier:  imarina:6232285
    Handle: https://hdl.handle.net/20.500.11797/imarina6232285
    Authors:  Martínez, AC; García, SC; Rodríguez-Velázquez, JA
    Abstract:
    © 2020 Elsevier B.V. In a graph G, a vertex dominates itself and its neighbours. A subset S⊆V(G) is said to be a double dominating set of G if S dominates every vertex of G at least twice. The minimum cardinality among all double dominating sets of G is the double domination number. In this article, we obtain tight bounds and closed formulas for the double domination number of lexicographic product graphs G∘H in terms of invariants of the factor graphs G and H.

  • Others:

    Link to the original source: https://www.sciencedirect.com/science/article/abs/pii/S0166218X2030144X?via%3Dihub
    APA: Martínez, AC; García, SC; Rodríguez-Velázquez, JA (2020). Double domination in lexicographic product graphs. Discrete Applied Mathematics, 284(), 290-300. DOI: 10.1016/j.dam.2020.03.045
    Paper original source: Discrete Applied Mathematics. 284 290-300
    Article's DOI: 10.1016/j.dam.2020.03.045
    Journal publication year: 2020-09-30
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/acceptedVersion
    Record's date: 2026-05-09
    URV's Author/s: CABRERA MARTÍNEZ, ABEL / Rodríguez Velázquez, Juan Alberto
    Department: Enginyeria Informàtica i Matemàtiques
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Publication Type: Journal Publications
    ISSN: 0166-218X
    Author, as appears in the article.: Martínez, AC; García, SC; Rodríguez-Velázquez, JA
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Mathematics, applied, Discrete mathematics and combinatorics, Ciência da computação, Applied mathematics
    Author's mail: juanalberto.rodriguez@urv.cat, juanalberto.rodriguez@urv.cat

  • Keywords:

    Total roman {2}-domination
    Total roman domination
    Total domination
    Number
    Lexicographic product
    Double domination
    Applied Mathematics
    Discrete Mathematics and Combinatorics
    Mathematics
    Applied
    Ciência da computação

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