Articles producció científicaEnginyeria Informàtica i Matemàtiques

Roman domination in cartesian product graphs and strong product graphs

  • Identification data

    Identifier:  imarina:5127102
    Handle: https://hdl.handle.net/20.500.11797/imarina5127102
    Authors:  Gonzalez Yero, Ismael; Alberto Rodriguez-Velazquez, Juan
    Abstract:
    A map f : V → {0, 1, 2} is a Roman dominating function for G if for every vertex v with f(v) = 0, there exists a vertex u, adjacent to v, with f(u) = 2. The weight of a Roman dominating function is f(V ) = ∑u∈V f(u). The minimum weight of a Roman dominating function on G is the Roman domination number of G. In this paper we study the Roman domination number of Cartesian product graphs and strong product graphs.

  • Others:

    Link to the original source: https://doiserbia.nb.rs/Article.aspx?id=1452-86301300017G
    APA: Gonzalez Yero, Ismael; Alberto Rodriguez-Velazquez, Juan (2013). Roman domination in cartesian product graphs and strong product graphs. Applicable Analysis And Discrete Mathematics, 7(2), 262-274. DOI: 10.2298/AADM130813017G
    Paper original source: Applicable Analysis And Discrete Mathematics. 7 (2): 262-274
    Article's DOI: 10.2298/AADM130813017G
    Journal publication year: 2013
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/publishedVersion
    Record's date: 2024-10-26
    URV's Author/s: GONZÁLEZ YERO, ISMAEL / 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.: Gonzalez Yero, Ismael; Alberto Rodriguez-Velazquez, Juan
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Mathematics, applied, Mathematics, Matemática / probabilidade e estatística, Engenharias iii, Discrete mathematics and combinatorics, Ciência da computação, Applied mathematics, Analysis
    Author's mail: juanalberto.rodriguez@urv.cat

  • Keywords:

    Strong product graphs
    Roman domination number
    Domination number
    Cartesian product graphs
    Analysis
    Applied Mathematics
    Discrete Mathematics and Combinatorics
    Mathematics
    Applied
    Matemática / probabilidade e estatística
    Engenharias iii
    Ciência da computação

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