Articles producció científicaEnginyeria Informàtica i Matemàtiques

Perfect Domination, Roman Domination and Perfect Roman Domination in Lexicographic Product Graphs

  • Identification data

    Identifier:  imarina:9262466
    Handle: https://hdl.handle.net/20.500.11797/imarina9262466
    Authors:  Martínez, AC; García-Gómez, C; Rodríguez-Velázquez, JA
    Abstract:
    The aim of this paper is to obtain closed formulas for the perfect domination number, the Roman domination number and the perfect Roman domination number of lexicographic product graphs. We show that these formulas can be obtained relatively easily for the case of the first two parameters. The picture is quite different when it concerns the perfect Roman domination number. In this case, we obtain general bounds and then we give sufficient and/or necessary conditions for the bounds to be achieved. We also discuss the case of perfect Roman graphs and we characterize the lexicographic product graphs where the perfect Roman domination number equals the Roman domination number.

  • Others:

    Link to the original source: https://content.iospress.com/articles/fundamenta-informaticae/fi222108
    APA: Martínez, AC; García-Gómez, C; Rodríguez-Velázquez, JA (2022). Perfect Domination, Roman Domination and Perfect Roman Domination in Lexicographic Product Graphs. Fundamenta Informaticae, 185(3), 201-220. DOI: 10.3233/FI-222108
    Paper original source: Fundamenta Informaticae. 185 (3): 201-220
    Article's DOI: 10.3233/FI-222108
    Journal publication year: 2022-01-01
    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 / García Gómez, Carlos / Rodríguez Velázquez, Juan Alberto
    Department: Enginyeria Informàtica i Matemàtiques
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Publication Type: Journal Publications
    Author, as appears in the article.: Martínez, AC; García-Gómez, C; Rodríguez-Velázquez, JA
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Theoretical computer science, Mathematics, applied, Information systems, Computer science, software engineering, Computational theory and mathematics, Ciência da computação, Astronomia / física, Algebra and number theory
    Author's mail: juanalberto.rodriguez@urv.cat, juanalberto.rodriguez@urv.cat, carlos.garciag@urv.cat, carlos.garciag@urv.cat

  • Keywords:

    Roman domination
    Perfect roman domination
    Perfect domination
    Number
    Lexicographic product
    Algebra and Number Theory
    Computational Theory and Mathematics
    Computer Science
    Software Engineering
    Information Systems
    Mathematics
    Applied
    Theoretical Computer Science
    Ciência da computação
    Astronomia / física

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