Non-commutative hypergroupoid obtained from simple graphs

Document Type : Research Paper

Authors

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

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


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