Novel Concepts of Domination in Vague Graphs with Application in Medicine | Zendy

Xiaoli Qiang | Zendy; Maryam Akhoundi | Zendy; Zheng Kou | Zendy; Xinyue Liu | Zendy; Saeed Kosari | Zendy

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Novel Concepts of Domination in Vague Graphs with Application in Medicine

Author(s) -

Xiaoli Qiang,

Maryam Akhoundi,

Zheng Kou,

Xinyue Liu,

Saeed Kosari

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6121454

Subject(s) - dominating set , set (abstract data type) , computer science , theoretical computer science , graph theory , graph , mathematics , discrete mathematics , combinatorics , vertex (graph theory) , programming language

VG can manage the uncertainty relevant to the inconsistent and indeterminate information of all real-world problems, in which FGs possibly will not succeed in bringing about satisfactory results. The previous definitions’ restrictions in FGs have made us present new definitions in VGs. A wide range of applications have been attributed to the domination in graph theory for several fields such as facility location problem, school bus routing, modeling biological networks, and coding theory. Therefore, in this research, we study several concepts of domination, such as restrained dominating set (RDS), perfect dominating set (PDS), global restrained dominating set (GRDS), total k -dominating set, and equitable dominating set (EDS) in VGs and also introduce their properties by some examples. Finally, we try to represent the application and importance of domination in the field of medical science and discuss the topic in today’s world, namely, the corona vaccine.

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