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Platonic graph : ウィキペディア英語版
Platonic graph

In the mathematical field of graph theory, a Platonic graph is a graph that has one of the Platonic solids as its skeleton. There are 5 Platonic graphs, and all of them are regular, polyhedral (and therefore by necessity also 3-vertex-connected, vertex-transitive, edge-transitive and planar graphs), and also Hamiltonian graphs.〔Read, R. C. and Wilson, R. J. ''An Atlas of Graphs'', Oxford, England: Oxford University Press, 2004 reprint, Chapter 6 ''special graphs'' pp. 261, 266.〕
* Tetrahedral graph – 4 vertices, 6 edges
* Octahedral graph – 6 vertices, 12 edges
* Cubical graph – 8 vertices, 12 edges
* Icosahedral graph – 12 vertices, 30 edges
* Dodecahedral graph – 20 vertices, 30 edges
== See also==

*Regular map (graph theory)
*Archimedean graph
*Wheel graph

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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