Directed Graphs representing isomorphism classes of C-Hypergroupoids

Antonios Kalampakas, Stefanos Spartalis, Kassiani Skoulariki

Abstract


We investigate the relation of directed graphs and hyperstructures by virtue of the graph hyperoperation. A new class of graphs arises in this way representing isomorphism classes of C-hypergroupoids and we present the 17 such graphs that correspond to the 73 C-hypergroupoids associated with binary relations on three element sets. As it is shown they constitute an upper semilattice with respect to
graph inclusion.


Keywords


Hyperoperations, Hypergroupoids, Directed Graphs.

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.