A graph corresponding to the skeleton of one of the Archimedean solids. There are 13 Archimedean graphs, all of which are regular, planar, polyhedral, and Hamiltonian. The following table lists the Archimedean graphs G, their connectivity d, number of vertices V, number of edges E, order of the automorphism group, Hamiltonicity, Eulerianicity, vertex-transitivity, and edge-transitivity. Note that all Archimedean graphs are Hamiltonian, vertex-transitive.

Archimedean dual graph | Archimedean solid | cubic graph | Platonic graph | quartic graph | quintic graph | regular graph