- Source: 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.
See also
Platonic graph
Wheel graph
References
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.
External links
Weisstein, Eric W. "Archimedean Graph". MathWorld.
Kata Kunci Pencarian:
- Archimedean graph
- Truncated icosahedron
- Archimedean solid
- Truncated icosidodecahedron
- Truncated dodecahedron
- Rhombicosidodecahedron
- Rhombicuboctahedron
- Truncated octahedron
- Truncated cube
- Truncated tetrahedron