Non-commutative hypergroupoid obtained from simple graphs

نویسندگان
گماری مسعود ID 1
حاجینژاد صادق ID 2
سلطانی آذر سعید ID 3
شادمان رودپشتی مجید ID 4

1 دانشگاه آزاد اسلامی

2 دانشگاه خوارزمی

3 دانشگاه آزاد اسلامی

4 دانشگاه تهران

doi
10.22034/as.2023.19832.1625
چکیده

The purpose of this paper is the study of non-weak commutative hypergroups associated with hypergraphs. In this regards, we construct a hyperoperation on the set of vertices of hypergraph and obtain some results and characterizations of them. Moreover, according to this hyperoperation, we investigate conditions under which the hypergroupoid is a join space hypergroup. Finally, we present an application to marketing social network.

کلیدواژه‌ها
Saeed Mirvakili1, Mina Faraji2, Peyman Ghiasvand2, Mohammad Hamidi2, Hypergraph, Hypergroup, Join space, Non-commutative hypergroupoid, Simple graphs