Non-commutative hypergroupoid obtained from simple graphs

نویسندگان
Ghiasvand, Peyman ID 1
Mirvakili, Saeed ID 2
Faraji, Mina ID 3
Hamidi, Mohammad ID 4

1 Department of mathematics, Payame Noor University, P. O. Box 19395-4697 Tehran, Iran.

2 Department of Mathematical Sciences, Yazd University, Yazd, Iran

3 Department of mathematics, Payame Noor University, P. O. Box 19395-4697 Tehran, Iran.

4 Department of mathematics, Payame Noor University, P. O. Box 19395-4697 Tehran, Iran.

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
Hypergraph, Hypergroup, Join space, Non-commutative hypergroupoid, Simple graphs