Autor según el artículo: Martinez, Abel Cabrera; Garcia, Suitberto Cabrera; Carrion Garcia, Andres; Grisales del Rio, Angela Maria;
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: CABRERA MARTÍNEZ, ABEL
Palabras clave: Vertex cover Rooted product graph Roman domination Outer-independent roman domination
Resumen: Let G be a graph with no isolated vertex and f:V(G)->{0,1,2} a function. Let V-i={v is an element of V(G):f(v)=i} for every i is an element of{0,1,2}. The function f is an outer-independent Roman dominating function on G if V0 is an independent set and every vertex in V-0 is adjacent to at least one vertex in V-2. The minimum weight omega(f)= Sigma v is an element of V(G)f(v) among all outer-independent Roman dominating functions f on G is the outer-independent Roman domination number of G. This paper is devoted to the study of the outer-independent Roman domination number of a graph, and it is a contribution to the special issue Theoretical Computer Science and Discrete Mathematics of Symmetry. In particular, we obtain new tight bounds for this parameter, and some of them improve some well-known results. We also provide closed formulas for the outer-independent Roman domination number of rooted product graphs.
Áreas temáticas: Physics and astronomy (miscellaneous) Multidisciplinary sciences Mathematics, interdisciplinary applications Mathematics (miscellaneous) Matemática / probabilidade e estatística General mathematics Computer science (miscellaneous) Ciência da computação Chemistry (miscellaneous)
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
Direcció de correo del autor: abel.cabrera@urv.cat
Identificador del autor: 0000-0003-2806-4842
Fecha de alta del registro: 2021-10-31
Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
Referencia al articulo segun fuente origial: Symmetry-Basel. 12 (11):
Referencia de l'ítem segons les normes APA: Martinez, Abel Cabrera; Garcia, Suitberto Cabrera; Carrion Garcia, Andres; Grisales del Rio, Angela Maria; (2020). On the Outer-Independent Roman Domination in Graphs. Symmetry-Basel, 12(11), -. DOI: 10.3390/sym12111846
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2020
Tipo de publicación: Journal Publications
Repositori URV