Autor según el artículo: Cabrera Martinez, Abel; Kuziak, Dorota; Yero, Ismael G.;

Departamento: Enginyeria Informàtica i Matemàtiques

Autor/es de la URV: CABRERA MARTÍNEZ, ABEL / GONZÁLEZ YERO, ISMAEL

Palabras clave: Vertex independence Vertex cover Trees Roman domination Outer-independent roman domination Domination

Resumen: A Roman dominating function on a graph G = (V (G), E (G)) is a function f : V (G) -> {0, 1, 2} satisfying the condition that every vertex u for which f (u) = 0 is adjacent to at least one vertex v for which f (v) = 2. The Roman dominating function f is an outer-independent Roman dominating function on G if the set of vertices labeled with zero under f is an independent set. The outer-independent Roman domination number gamma(oiR) (G) is the minimum weight w(f ) = Sigma(v is an element of V), ((G)) f(v) of any outer-independent Roman dominating function f of G. A vertex cover of a graph G is a set of vertices that covers all the edges of G. The minimum cardinality of a vertex cover is denoted by alpha(G). A graph G is a vertex cover Roman graph if gamma(oiR) (G) = 2 alpha(G). A constructive characterization of the vertex cover Roman trees is given in this article.

Áreas temáticas: Mathematics Matemática / probabilidade e estatística Discrete mathematics and combinatorics Ciência da computação Applied mathematics

Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/

ISSN: 1234-3099

Direcció de correo del autor: abel.cabrera@urv.cat

Identificador del autor: 0000-0003-2806-4842

Página final: 283

Fecha de alta del registro: 2021-10-10

Volumen de revista: 41

Versión del articulo depositado: info:eu-repo/semantics/publishedVersion

Enlace a la fuente original: https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=42024

URL Documento de licencia: http://repositori.urv.cat/ca/proteccio-de-dades/

Referencia al articulo segun fuente origial: Discussiones Mathematicae Graph Theory. 41 (1): 267-283

Referencia de l'ítem segons les normes APA: Cabrera Martinez, Abel; Kuziak, Dorota; Yero, Ismael G.; (2021). A CONSTRUCTIVE CHARACTERIZATION OF VERTEX COVER ROMAN TREES. Discussiones Mathematicae Graph Theory, 41(1), 267-283. DOI: 10.7151/dmgt.2179

DOI del artículo: 10.7151/dmgt.2179

Entidad: Universitat Rovira i Virgili

Año de publicación de la revista: 2021

Página inicial: 267

Tipo de publicación: Journal Publications