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Protection of Graphs with Emphasis on Cartesian Product Graphs

  • Identification data

    Identifier: imarina:5870678
    Authors:
    Valveny, MagdalenaAlberto Rodriguez-Velazquez, Juan
    Abstract:
    In this paper we study the weak Roman domination number and the secure domination numberof a graph. In particular, we obtain general bounds on these two parameters and, as a consequence ofthe study, we derive new inequalities of Nordhaus-Gaddum type involving secure domination and weakRoman domination. Furthermore, the particular case of Cartesian product graphs is considere
  • Others:

    Author, as appears in the article.: Valveny, Magdalena; Alberto Rodriguez-Velazquez, Juan
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Rodríguez Velázquez, Juan Alberto
    Keywords: Weak roman domination Secure domination Cartesian product
    Abstract: In this paper we study the weak Roman domination number and the secure domination numberof a graph. In particular, we obtain general bounds on these two parameters and, as a consequence ofthe study, we derive new inequalities of Nordhaus-Gaddum type involving secure domination and weakRoman domination. Furthermore, the particular case of Cartesian product graphs is considere
    Thematic Areas: Mathematics, applied Mathematics (miscellaneous) Mathematics (all) Mathematics General mathematics Engenharias iii Economia Ciências agrárias i
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 03545180
    Author's mail: juanalberto.rodriguez@urv.cat
    Author identifier: 0000-0002-9082-7647
    Record's date: 2024-10-26
    Papper version: info:eu-repo/semantics/publishedVersion
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Filomat. 33 (1): 319-333
    APA: Valveny, Magdalena; Alberto Rodriguez-Velazquez, Juan (2019). Protection of Graphs with Emphasis on Cartesian Product Graphs. Filomat, 33(1), 319-333. DOI: 10.2298/FIL1901319V
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2019
    Publication Type: Journal Publications
  • Keywords:

    Mathematics,Mathematics (Miscellaneous),Mathematics, Applied
    Weak roman domination
    Secure domination
    Cartesian product
    Mathematics, applied
    Mathematics (miscellaneous)
    Mathematics (all)
    Mathematics
    General mathematics
    Engenharias iii
    Economia
    Ciências agrárias i
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