Non-commutative hypergroupoid obtained from simple graphs

Author(s):

Saeed Mirvakili * , Mina Faraji , Peyman Ghiasvand , Mohammad Hamidi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Hypergraph , Hypergroup , Join Space , Non-Commutative Hypergroupoid , Simple Graphs

Language:
English
Published:
Journal of Algebraic Structures and Their Applications, Volume:11 Issue: 3, Summer 2024
Pages:
173 to 193
https://www.magiran.com/p2828433  
سامانه نویسندگان
  • Mohammad Hamidi
    Author (4)
    Associate Professor Mathematics- Science, Payame Noor University, Tehran, Iran
    Hamidi، Mohammad
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