Hypergroups associated to dominating sets
Publish place: Caspian Journal of Mathematical Sciences، Vol: 11، Issue: 2
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-11-2_010
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
The study of hyperstructures derived from particular mathematical objects is very important and interesting. Graph theory has been established as a fundamental and important tool for solving practical problems in other branches of mathematics. This paper can be considered as one of the connections between hyperstructures and graph theory. In this way, by using the dominating set notion of a graph, we define a hyperoperation on verticals of it and study its properties and then we construct a hypergroup based on this hyperoperation. This hypergroup is presented for some classes of graphs.
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Authors
Tahere Nozari
Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran
Fateme Movahedi
Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran