Non-commutative hypergroupoid obtained from simple graphs

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Mirvakili Saeed; Faraji Mina; Ghiasvand Peyman; Hamidi Mohammad

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Journal Paper

Paper Information

Journal: Algebraic structures and their applications Year:2024 | Volume:11 | Issue:3 Page(s): 173-193

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Information Journal Paper

Title

Non-commutative hypergroupoid obtained from simple graphs

Author(s)

Mirvakili Saeed | Faraji Mina | Ghiasvand Peyman | Hamidi Mohammad | Issue Writer Certificate

Keywords

Hypergraph

Hypergroup

Join space

Non-commutative hypergroupoid

Simple graphs

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.

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