Some Hypergroups Induced by Zero Forcing Process

Inthispaper,weexpandtheresearchonmakingrelationshipsbetweengraphs andhyperstructures. First,byconsideringanarbitraryzeroforcingset Z ona graph G and it’s forcing process, we define zero forcing roots and zero forcing leaves of one vertex. These new definitions provide the opportunity for us to introduce two commutative hypergroups on the vertex set of G.