On the Quasi-Total Roman Domination Number of Graphs

Domination theory is a well-established topic in graph theory, as well as one of the most active research areas. Interest in this area is partly explained by its diversity of applications to real-world problems, such as facility location problems, computer and social networks, monitoring communicati...

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Autores principales:	Abel Cabrera Martínez, Juan C. Hernández-Gómez, José M. Sigarreta
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	quasi-total Roman domination total Roman domination Roman domination Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/015c5da0dbe841629984a5c90c342bd2
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id	oai:doaj.org-article:015c5da0dbe841629984a5c90c342bd2
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spelling	oai:doaj.org-article:015c5da0dbe841629984a5c90c342bd22021-11-11T18:21:07ZOn the Quasi-Total Roman Domination Number of Graphs10.3390/math92128232227-7390https://doaj.org/article/015c5da0dbe841629984a5c90c342bd22021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2823https://doaj.org/toc/2227-7390Domination theory is a well-established topic in graph theory, as well as one of the most active research areas. Interest in this area is partly explained by its diversity of applications to real-world problems, such as facility location problems, computer and social networks, monitoring communication, coding theory, and algorithm design, among others. In the last two decades, the functions defined on graphs have attracted the attention of several researchers. The Roman-dominating functions and their variants are one of the main attractions. This paper is a contribution to the Roman domination theory in graphs. In particular, we provide some interesting properties and relationships between one of its variants: the quasi-total Roman domination in graphs.Abel Cabrera MartínezJuan C. Hernández-GómezJosé M. SigarretaMDPI AGarticlequasi-total Roman dominationtotal Roman dominationRoman dominationMathematicsQA1-939ENMathematics, Vol 9, Iss 2823, p 2823 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	quasi-total Roman domination total Roman domination Roman domination Mathematics QA1-939
spellingShingle	quasi-total Roman domination total Roman domination Roman domination Mathematics QA1-939 Abel Cabrera Martínez Juan C. Hernández-Gómez José M. Sigarreta On the Quasi-Total Roman Domination Number of Graphs
description	Domination theory is a well-established topic in graph theory, as well as one of the most active research areas. Interest in this area is partly explained by its diversity of applications to real-world problems, such as facility location problems, computer and social networks, monitoring communication, coding theory, and algorithm design, among others. In the last two decades, the functions defined on graphs have attracted the attention of several researchers. The Roman-dominating functions and their variants are one of the main attractions. This paper is a contribution to the Roman domination theory in graphs. In particular, we provide some interesting properties and relationships between one of its variants: the quasi-total Roman domination in graphs.
format	article
author	Abel Cabrera Martínez Juan C. Hernández-Gómez José M. Sigarreta
author_facet	Abel Cabrera Martínez Juan C. Hernández-Gómez José M. Sigarreta
author_sort	Abel Cabrera Martínez
title	On the Quasi-Total Roman Domination Number of Graphs
title_short	On the Quasi-Total Roman Domination Number of Graphs
title_full	On the Quasi-Total Roman Domination Number of Graphs
title_fullStr	On the Quasi-Total Roman Domination Number of Graphs
title_full_unstemmed	On the Quasi-Total Roman Domination Number of Graphs
title_sort	on the quasi-total roman domination number of graphs
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/015c5da0dbe841629984a5c90c342bd2
work_keys_str_mv	AT abelcabreramartinez onthequasitotalromandominationnumberofgraphs AT juanchernandezgomez onthequasitotalromandominationnumberofgraphs AT josemsigarreta onthequasitotalromandominationnumberofgraphs
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On the Quasi-Total Roman Domination Number of Graphs

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