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Double domination in lexicographic product graphs

  • Identification data

    Identifier: imarina:6232285
    Authors:
    Cabrera Martínez ACabrera García SRodríguez-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:

    Author, as appears in the article.: Cabrera Martínez A; Cabrera García S; Rodríguez-Velázquez JA
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: CABRERA MARTÍNEZ, ABEL / Rodríguez Velázquez, Juan Alberto
    Keywords: Total roman {2}-domination Total roman domination Total domination Number Lexicographic product Double domination
    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.
    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/
    ISSN: 0166-218X
    Author's mail: juanalberto.rodriguez@urv.cat
    Author identifier: 0000-0002-9082-7647
    Record's date: 2023-02-19
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: https://www.sciencedirect.com/science/article/abs/pii/S0166218X2030144X?via%3Dihub
    Papper original source: Discrete Applied Mathematics. 284 290-300
    APA: Cabrera Martínez A; Cabrera García S; Rodríguez-Velázquez JA (2020). Double domination in lexicographic product graphs. Discrete Applied Mathematics, 284(), 290-300. DOI: 10.1016/j.dam.2020.03.045
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Article's DOI: 10.1016/j.dam.2020.03.045
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2020
    Publication Type: Journal Publications
  • Keywords:

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