Weak Roman domination in rooted product graphs

Autor: Rangel Hernández-Ortiz, Luis Pedro Montejano, Juan Alberto Rodríguez-Velázquez
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 4, Pp 3641-3653 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021217?viewType=HTML
Popis: In this paper, we obtain closed formulae for the weak Roman domination number of rooted product graphs. As a consequence of the study, we show that the use of rooted product graphs is a useful tool to show that the problem of computing the weak Roman domination number of a graph is NP-hard.
Databáze: Directory of Open Access Journals