Autor según el artículo: Cabrera Martinez, Abel; Peterin, Iztok; Yero, Ismael G.;
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: CABRERA MARTÍNEZ, ABEL / GONZÁLEZ YERO, ISMAEL
Palabras clave: Trees Total domination number Independent transversal total domination number Independence number
Resumen: A subset of vertices in a graph G is a total dominating set if every vertex in G is adjacent to at least one vertex in this subset. The total domination number of G is the minimum cardinality of any total dominating set in G and is denoted by gamma(t)(G). A total dominating set of G having nonempty intersection with all the independent sets of maximum cardinality in G is an independent transversal total dominating set. The minimum cardinality of any independent transversal total dominating set is denoted by gamma(u) (G). Based on the fact that for any tree T, gamma(t) (T) <= gamma(u) (T) <= gamma(t) (T) + 1, in this work we give several relationship(s) between gamma(u) (T) and gamma(t) (T) for trees T which are leading to classify the trees which are satisfying the equality in these bounds.
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: 224
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=42027
Referencia al articulo segun fuente origial: Discussiones Mathematicae Graph Theory. 41 (1): 213-224
Referencia de l'ítem segons les normes APA: Cabrera Martinez, Abel; Peterin, Iztok; Yero, Ismael G.; (2021). INDEPENDENT TRANSVERSAL TOTAL DOMINATION VERSUS TOTAL DOMINATION IN TREES. Discussiones Mathematicae Graph Theory, 41(1), 213-224. DOI: 10.7151/dmgt.2200
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
DOI del artículo: 10.7151/dmgt.2200
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2021
Página inicial: 213
Tipo de publicación: Journal Publications
Repositori URV