Repositori institucional URV
| URV's Author/s: | CABRERA MARTÍNEZ, ABEL / García Gómez, Carlos / Rodríguez Velázquez, Juan Alberto |
| Author, as appears in the article.: | Cabrera Martinez, A.; Garcia-Gomez, C.; Rodriguez-Velazquez, J. A.; |
| Author's mail: | juanalberto.rodriguez@urv.cat carlos.garciag@urv.cat |
| Author identifier: | 0000-0002-9082-7647 0000-0002-8201-3192 |
| Journal publication year: | 2022 |
| Publication Type: | Journal Publications |
| 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 |
| Papper original source: | Fundamenta Informaticae. 185 (3): 201-220 |
| Abstract: | 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. |
| Article's DOI: | 10.3233/FI-222108 |
| Link to the original source: | https://content.iospress.com/articles/fundamenta-informaticae/fi222108 |
| Papper version: | info:eu-repo/semantics/acceptedVersion |
| licence for use: | https://creativecommons.org/licenses/by/3.0/es/ |
| Department: | Enginyeria Informàtica i Matemàtiques |
| Licence document URL: | https://repositori.urv.cat/ca/proteccio-de-dades/ |
| Thematic Areas: | 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 |
| Keywords: | Roman domination Perfect roman domination Perfect domination Number Lexicographic product |
| Entity: | Universitat Rovira i Virgili |
| Record's date: | 2024-09-07 |
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