Hypergroups Constructed From Hypergraphs

A. Nikkhah, Bijan Davvaz, S. Mirvakili


The purpose of this paper is the study of hypergroups associated with hypergraphs. In this regard, we construct a hypergroupoid by defining a hyperoperation on the set of degrees of vertices of a hypergraph. We will see that the constructed hypergroupoid is always an $H_v$-group. We will investigate some conditions to have a hypergroup.


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