The Domination Parameters on a kind of the regular honeycomb structure

Movahedi Fateme; Choong Kok Keong; Akhbari Mohammad Hadi

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2024-03-10 17:46

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004.8+004.896 (1)

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MOVAHEDI, Fateme, CHOONG, Kok Keong, AKHBARI, Mohammad Hadi. The Domination Parameters on a kind of the regular honeycomb structure. In: Computer Science Journal of Moldova, 2022, nr. 2(89), pp. 223-242. ISSN 1561-4042. DOI: https://doi.org/10.56415/csjm.v30.12

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Computer Science Journal of Moldova

Numărul 2(89) / 2022 / ISSN 1561-4042 /ISSNe 2587-4330

The Domination Parameters on a kind of the regular honeycomb structure

DOI:https://doi.org/10.56415/csjm.v30.12

CZU: 004.8+004.896

MSC 2010: 05C69, 97R20.

Pag. 223-242

Movahedi Fateme¹, Choong Kok Keong², Akhbari Mohammad Hadi²³

¹ Golestan University,
² Universiti Sains Malaysia,
³ Islamic Azad University, Estahban

Disponibil în IBN: 20 decembrie 2022

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Rezumat

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.

Cuvinte-cheie
Honeycomb structure, Total domination number, Independent domination number, Connected domination number, Doubly connected domination number

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