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Roman domination in cartesian product graphs and strong product graphs

  • Dades identificatives

    Identificador: imarina:5127102
    Autors:
    Gonzalez Yero, IsmaelAlberto Rodriguez-Velazquez, Juan
    Resum:
    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.
  • Altres:

    Autor segons l'article: Gonzalez Yero, Ismael; Alberto Rodriguez-Velazquez, Juan
    Departament: Enginyeria Informàtica i Matemàtiques
    Autor/s de la URV: GONZÁLEZ YERO, ISMAEL / Rodríguez Velázquez, Juan Alberto
    Paraules clau: Strong product graphs Roman domination number Domination number Cartesian product graphs
    Resum: 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.
    Àrees temàtiques: Mathematics, applied Mathematics Matemática / probabilidade e estatística Engenharias iii Discrete mathematics and combinatorics Ciência da computação Applied mathematics Analysis
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    Adreça de correu electrònic de l'autor: juanalberto.rodriguez@urv.cat
    Identificador de l'autor: 0000-0002-9082-7647
    Data d'alta del registre: 2024-10-26
    Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
    Enllaç font original: https://doiserbia.nb.rs/Article.aspx?id=1452-86301300017G
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referència a l'article segons font original: Applicable Analysis And Discrete Mathematics. 7 (2): 262-274
    Referència de l'ítem segons les normes 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
    DOI de l'article: 10.2298/AADM130813017G
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2013
    Tipus de publicació: Journal Publications
  • Paraules clau:

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