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Every group-embeddable monoid arises as the bimorphism monoid of some graph

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arxiv 2401.02775 v1 pith:DFD3LCCG submitted 2024-01-05 math.CO

Every group-embeddable monoid arises as the bimorphism monoid of some graph

classification math.CO
keywords monoidbimorphismeverygraphgroup-embeddablesomearisesdemonstrate
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Generalizing results of Frucht and de Groot/Sabidussi, we demonstrate that every group-embeddable monoid is isomorphic to the bimorphism monoid of some graph.

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