Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The Domination Parameters on a kind of the regular honeycomb structure
Authors: Fateme Movahedi, Kok Keong Choong, Mohammad Hadi Akhbari
Keywords: Honeycomb structure, Total domination number, Independent domination number, Connected domination number, Doubly connected domination number.
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Keywords: Honeycomb structure, Total domination number, Independent domination number, Connected domination number, Doubly connected domination number.
Abstract
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.Fateme Movahedi
Department of Mathematics, Faculty of Sciences,
Golestan University, Gorgan, Iran
E-mail:
Kok Keong Choong
School of Civil Engineering, Universiti Sains Malaysia,
Nibong Tebal, Penang, Malaysia
E-mail:
Mohammad Hadi Akhbari
Department of Mathematics, Estahban Branch,
Islamic Azad University, Estahban, Iran
School of Civil Engineering, Universiti Sains Malaysia,
Nibong Tebal, Penang, Malaysia
E-mail:
Department of Mathematics, Faculty of Sciences,
Golestan University, Gorgan, Iran
E-mail:
Kok Keong Choong
School of Civil Engineering, Universiti Sains Malaysia,
Nibong Tebal, Penang, Malaysia
E-mail:
Mohammad Hadi Akhbari
Department of Mathematics, Estahban Branch,
Islamic Azad University, Estahban, Iran
School of Civil Engineering, Universiti Sains Malaysia,
Nibong Tebal, Penang, Malaysia
E-mail:
DOI
https://doi.org/10.56415/csjm.v30.13Fulltext
– 0.27 Mb
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