Every group-embeddable monoid arises as the bimorphism monoid of some graph
Thomas D. H. Coleman, Isaac K. Dilley·2024-01-05·via math.CO updates on arXiv.org
Generalizing results of Frucht and de Groot/Sabidussi, we demonstrate that every group-embeddable monoid is isomorphic to the bimorphism monoid of some graph.