Autor según el artículo: Cabrera Martinez, A; Garcia-Gomez, C; Rodriguez-Velazquez, J A
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: CABRERA MARTÍNEZ, ABEL / García Gómez, Carlos / Rodríguez Velázquez, Juan Alberto
Palabras clave: Roman domination Perfect roman domination Perfect domination Number Lexicographic product
Resumen: The aim of this paper is to obtain closed formulas for the perfect domination number, the Roman domination number and the perfect Roman domination number of lexicographic product graphs. We show that these formulas can be obtained relatively easily for the case of the first two parameters. The picture is quite different when it concerns the perfect Roman domination number. In this case, we obtain general bounds and then we give sufficient and/or necessary conditions for the bounds to be achieved. We also discuss the case of perfect Roman graphs and we characterize the lexicographic product graphs where the perfect Roman domination number equals the Roman domination number.
Áreas temáticas: Theoretical computer science Mathematics, applied Matemática / probabilidade e estatística Information systems Engenharias iv Engenharias iii Computer science, software engineering Computational theory and mathematics Ciência da computação Astronomia / física Algebra and number theory
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
Direcció de correo del autor: juanalberto.rodriguez@urv.cat carlos.garciag@urv.cat
Identificador del autor: 0000-0002-9082-7647 0000-0002-8201-3192
Fecha de alta del registro: 2024-10-26
Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
Referencia al articulo segun fuente origial: Fundamenta Informaticae. 185 (3): 201-220
Referencia de l'ítem segons les normes APA: Cabrera Martinez, A; Garcia-Gomez, C; Rodriguez-Velazquez, J A (2022). Perfect Domination, Roman Domination and Perfect Roman Domination in Lexicographic Product Graphs. Fundamenta Informaticae, 185(3), 201-220. DOI: 10.3233/FI-222108
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2022
Tipo de publicación: Journal Publications
Repositori URV