Archimedean graph

In the mathematical field of graph theory, an Archimedean graph is a graph that forms the skeleton of one of the Archimedean solids. There are 13 Archimedean graphs, and all of them are regular, polyhedral (and therefore by necessity also 3-vertex-connected planar graphs), and also Hamiltonian graphs.

Along with the 13, the infinite sets of prism graphs and antiprism graphs can also be considered Archimedean graphs.

• Platonic graph
• Wheel graph

• Read, R. C. and Wilson, R. J. An Atlas of Graphs, Oxford, England: Oxford University Press, 2004 reprint, Chapter 6 special graphs pp. 261, 267–269.

• Weisstein, Eric W. "Archimedean Graph". MathWorld.