An Archimedean graph is a type of mathematical structure that is related to the concept of Archimedean solids in geometry. Specifically, an Archimedean graph is a vertex-transitive graph that can be represented as a Cayley graph of a group related to an Archimedean solid. In the context of geometry and polyhedra, Archimedean solids are convex polyhedra that are made up of two or more types of regular polygons.
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