Survey on Roman {2}-Domination

Ahlam Almulhim (), Bana Al Subaiei and Saiful Rahman Mondal
Additional contact information
Ahlam Almulhim: Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
Bana Al Subaiei: Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
Saiful Rahman Mondal: Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia

Mathematics, 2024, vol. 12, issue 17, 1-20

Abstract: The notion of Roman { 2 } -domination was introduced in 2016 as a variant of Roman domination, a concept inspired by a defending strategy used by the emperor Constantine (272–337 AD) to protect the Roman Empire. Since then, a considerable number of papers on Roman { 2 } -domination and its variants have been published. In this paper, we survey published results on Roman { 2 } -domination as well as the main findings on Roman { 2 } -domination variants found in the literature. A list of open problems related to this notion and its variants are also given.

Keywords: Roman {2}-domination; Italian domination; Roman domination; domination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/17/2771/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/17/2771/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:17:p:2771-:d:1473357

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().