Autor según el artículo: Martínez AC; Rodríguez-Velázquez JA

Departamento: Enginyeria Informàtica i Matemàtiques

e-ISSN: 2073-8994

Autor/es de la URV: CABRERA MARTÍNEZ, ABEL / Rodríguez Velázquez, Juan Alberto

Palabras clave: Total domination Rooted product graph Domination

Resumen: © 2020 by the authors. Licensee MDPI, Basel, Switzerland. During the last few decades, domination theory has been one of the most active areas of research within graph theory. Currently, there are more than 4400 published papers on domination and related parameters. In the case of total domination, there are over 580 published papers, and 50 of them concern the case of product graphs. However, none of these papers discusses the case of rooted product graphs. Precisely, the present paper covers this gap in the theory. Our goal is to provide closed formulas for the total domination number of rooted product graphs. In particular, we show that there are four possible expressions for the total domination number of a rooted product graph, and we characterize the graphs reaching these expressions.

Áreas temáticas: Visual arts and performing arts Physics and astronomy (miscellaneous) Multidisciplinary sciences Modeling and simulation Mathematics, interdisciplinary applications Mathematics (miscellaneous) Mathematics (all) Matemática / probabilidade e estatística General mathematics Engineering (miscellaneous) Computer science (miscellaneous) Ciência da computação Chemistry (miscellaneous) Arts and humanities (miscellaneous) Architecture Applied mathematics

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

Direcció de correo del autor: juanalberto.rodriguez@urv.cat

Identificador del autor: 0000-0002-9082-7647

Fecha de alta del registro: 2023-08-05

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

Enlace a la fuente original: https://www.mdpi.com/2073-8994/12/11/1929/htm

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

Referencia al articulo segun fuente origial: Symmetry-Basel. 12 (11): 1-11

Referencia de l'ítem segons les normes APA: Martínez AC; Rodríguez-Velázquez JA (2020). Total domination in rooted product graphs. Symmetry-Basel, 12(11), 1-11. DOI: 10.3390/sym12111929

DOI del artículo: 10.3390/sym12111929

Entidad: Universitat Rovira i Virgili

Año de publicación de la revista: 2020

Tipo de publicación: Journal Publications