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Hypergroups associated to dominating sets | ||
| Caspian Journal of Mathematical Sciences | ||
| دوره 11، شماره 2، 2022، صفحه 495-507 اصل مقاله (326.81 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2022.19814.1551 | ||
| نویسندگان | ||
| Tahere Nozari* ؛ Fateme Movahedi | ||
| Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran | ||
| تاریخ دریافت: 29 شهریور 1399، تاریخ بازنگری: 01 بهمن 1400، تاریخ پذیرش: 12 بهمن 1400 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Semihypergroup؛ hypergroup؛ graph؛ domonating set | ||
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آمار تعداد مشاهده مقاله: 182 تعداد دریافت فایل اصل مقاله: 158 |
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