Английская Википедия:Archimedean graph

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Версия от 09:59, 2 февраля 2024; EducationBot (обсуждение | вклад) (Новая страница: «{{Английская Википедия/Панель перехода}} {{Short description|Graph with an Archimedean solid as its skeleton}} 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 there...»)
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Шаблон:Short description 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.[1]

Along with the 13, the set of infinite prism graphs and antiprism graphs can also be considered Archimedean graphs.[2]

Graph elements
Name Graph Degree Edges Vertices Order
truncated tetrahedral graph Файл:Tuncated tetrahedral graph.png 3 18 12 24
cuboctahedral graph Файл:Cuboctahedral graph.png 4 24 12 48
truncated cubical graph Файл:Truncated cubic graph.png 3 36 24 48
truncated octahedral graph Файл:Truncated octahedral graph.png 3 36 24 48
rhombicuboctahedral graph Файл:Rhombicuboctahedral graph.png 4 48 24 48
truncated cuboctahedral graph
(great rhombicuboctahedron)		 Файл:Truncated cuboctahedral graph.png 3 72 48 48
snub cubical graph Файл:Snub cubic graph.png 5 60 24 24
icosidodecahedral graph Файл:Icosidodecahedral graph.png 4 60 30 120
truncated dodecahedral graph Файл:Truncated dodecahedral graph.png 3 90 60 120
truncated icosahedral graph Файл:Truncated icosahedral graph.png 3 90 60 120
rhombicosidodecahedral graph Файл:Rhombicosidodecahedral graph.png 4 120 60 120
truncated icosidodecahedral graph
(great rhombicosidodecahedron)		 Файл:Truncated icosidodecahedral graph.png 3 180 120 120
snub dodecahedral graph Файл:Snub dodecahedral graph.png 5 150 60 60


See also

References

Шаблон:Reflist

  • 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


Шаблон:Graph-stub

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  1. ↑ An Atlas of Graphs, p. 267-270
  2. ↑ An Atlas of Graphs, p. 261
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