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Weak Roman domination in rooted product graphs

  • Identification data

    Identifier: imarina:9224764
    Authors:
    Hernandez-Ortiz, RangelPedro Montejano, LuisRodriguez-Velazquez, Juan Alberto
    Abstract:
    In this paper, we obtain closed formulae for the weak Roman domination number of rooted product graphs. As a consequence of the study, we show that the use of rooted product graphs is a useful tool to show that the problem of computing the weak Roman domination number of a graph is NP-hard.
  • Others:

    Author, as appears in the article.: Hernandez-Ortiz, Rangel; Pedro Montejano, Luis; Rodriguez-Velazquez, Juan Alberto
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: HERNÁNDEZ ORTIZ, RANGEL / Montejano Cantoral, Luis Pedro / Rodríguez Velázquez, Juan Alberto
    Keywords: Weak roman domination Rooted product graphs Protection of graphs Protection Number Np-hard Corona product graphs
    Abstract: In this paper, we obtain closed formulae for the weak Roman domination number of rooted product graphs. As a consequence of the study, we show that the use of rooted product graphs is a useful tool to show that the problem of computing the weak Roman domination number of a graph is NP-hard.
    Thematic Areas: Mathematics, applied Mathematics (miscellaneous) Mathematics (all) Mathematics General mathematics
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: rangel.hernandez@urv.cat luispedro.montejano@urv.cat rangel.hernandez@urv.cat juanalberto.rodriguez@urv.cat
    Author identifier: 0000-0002-9082-7647
    Record's date: 2024-10-26
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: http://www.aimspress.com/article/doi/10.3934/math.2021217
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Aims Mathematics. 6 (4): 3641-3653
    APA: Hernandez-Ortiz, Rangel; Pedro Montejano, Luis; Rodriguez-Velazquez, Juan Alberto (2021). Weak Roman domination in rooted product graphs. Aims Mathematics, 6(4), 3641-3653. DOI: 10.3934/math.2021217
    Article's DOI: 10.3934/math.2021217
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2021
    Publication Type: Journal Publications
  • Keywords:

    Mathematics,Mathematics (Miscellaneous),Mathematics, Applied
    Weak roman domination
    Rooted product graphs
    Protection of graphs
    Protection
    Number
    Np-hard
    Corona product graphs
    Mathematics, applied
    Mathematics (miscellaneous)
    Mathematics (all)
    Mathematics
    General mathematics
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