The Domination Parameters on a kind of the regular honeycomb structure
The honeycomb mesh, based on hexagonal structure, has enormous applications in chemistry and engineering. A major challenge in this field is to understand the unique properties of honeycomb structures, which depend on their properties of topology. One of the important concepts in graph theory is...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vladimir Andrunachievici Institute of Mathematics and Computer Science
2022-07-01
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| Series: | Computer Science Journal of Moldova |
| Subjects: | |
| Online Access: | https://www.math.md/files/csjm/v30-n2/v30-n2-(pp223-242).pdf |
| _version_ | 1811277747689881600 |
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| author | Fateme Movahedi Kok Keong Choong Mohammad Hadi Akhbari |
| author_facet | Fateme Movahedi Kok Keong Choong Mohammad Hadi Akhbari |
| author_sort | Fateme Movahedi |
| collection | DOAJ |
| description | The honeycomb mesh, based on hexagonal structure, has enormous applications in chemistry and engineering. A major challenge in this field is to understand the unique properties of honeycomb structures, which depend on their properties of topology.
One of the important concepts in graph theory is the domination number which can be used for network control and monitoring. In this paper, we investigate the domination number of the honeycomb network. For this purpose, the domination number, the total domination number, the independent domination number, the connected domination number, and the doubly connected domination number of the honeycomb are obtained. Finally, in some honeycomb structures of real models, we obtain the exact amount of these parameters. |
| first_indexed | 2024-04-13T00:22:13Z |
| format | Article |
| id | doaj.art-7f8d8542afdd4cb29c8fbff626ad00fa |
| institution | Directory Open Access Journal |
| issn | 1561-4042 |
| language | English |
| last_indexed | 2024-04-13T00:22:13Z |
| publishDate | 2022-07-01 |
| publisher | Vladimir Andrunachievici Institute of Mathematics and Computer Science |
| record_format | Article |
| series | Computer Science Journal of Moldova |
| spelling | doaj.art-7f8d8542afdd4cb29c8fbff626ad00fa2022-12-22T03:10:44ZengVladimir Andrunachievici Institute of Mathematics and Computer ScienceComputer Science Journal of Moldova1561-40422022-07-01302(89)223242https://doi.org/10.56415/csjm.v30.13The Domination Parameters on a kind of the regular honeycomb structureFateme Movahedi0Kok Keong Choong1Mohammad Hadi Akhbari2Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, IranSchool of Civil Engineering, Universiti Sains Malaysia, Nibong Tebal, Penang, MalaysiaDepartment of Mathematics, Estahban Branch, Islamic Azad University, Estahban, Iran, School of Civil Engineering, Universiti Sains Malaysia, Nibong Tebal, Penang, MalaysiaThe honeycomb mesh, based on hexagonal structure, has enormous applications in chemistry and engineering. A major challenge in this field is to understand the unique properties of honeycomb structures, which depend on their properties of topology. One of the important concepts in graph theory is the domination number which can be used for network control and monitoring. In this paper, we investigate the domination number of the honeycomb network. For this purpose, the domination number, the total domination number, the independent domination number, the connected domination number, and the doubly connected domination number of the honeycomb are obtained. Finally, in some honeycomb structures of real models, we obtain the exact amount of these parameters.https://www.math.md/files/csjm/v30-n2/v30-n2-(pp223-242).pdfhoneycomb structuretotal domination numberindependent domination numberconnected domination numberdoubly connected domination number |
| spellingShingle | Fateme Movahedi Kok Keong Choong Mohammad Hadi Akhbari The Domination Parameters on a kind of the regular honeycomb structure Computer Science Journal of Moldova honeycomb structure total domination number independent domination number connected domination number doubly connected domination number |
| title | The Domination Parameters on a kind of the regular honeycomb structure |
| title_full | The Domination Parameters on a kind of the regular honeycomb structure |
| title_fullStr | The Domination Parameters on a kind of the regular honeycomb structure |
| title_full_unstemmed | The Domination Parameters on a kind of the regular honeycomb structure |
| title_short | The Domination Parameters on a kind of the regular honeycomb structure |
| title_sort | domination parameters on a kind of the regular honeycomb structure |
| topic | honeycomb structure total domination number independent domination number connected domination number doubly connected domination number |
| url | https://www.math.md/files/csjm/v30-n2/v30-n2-(pp223-242).pdf |
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