Recent zbMATH articles in MSC 08Chttps://zbmath.org/atom/cc/08C2021-07-26T21:45:41.944397ZWerkzeugGraph varieties axiomatized by semimedial, medial, and some other groupoid identitieshttps://zbmath.org/1463.055382021-07-26T21:45:41.944397Z"Lehtonen, Erkko"https://zbmath.org/authors/?q=ai:lehtonen.erkko"Manyuen, Chaowat"https://zbmath.org/authors/?q=ai:manyuen.chaowatSummary: Directed graphs without multiple edges can be represented as algebras of type \((2,0)\), so-called graph algebras. A graph is said to satisfy an identity if the corresponding graph algebra does, and the set of all graphs satisfying a set of identities is called a graph variety. We describe the graph varieties axiomatized by certain groupoid identities (medial, semimedial, autodistributive, commutative, idempotent, unipotent, zeropotent, alternative).