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- Platonic_graph abstract "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. 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".
- Platonic_graph thumbnail Polyhedral_schlegel_diagrams.svg?width=300.
- Platonic_graph wikiPageID "45009601".
- Platonic_graph wikiPageLength "1656".
- Platonic_graph wikiPageOutDegree "28".
- Platonic_graph wikiPageRevisionID "673075419".
- Platonic_graph wikiPageWikiLink Archimedean_graph.
- Platonic_graph wikiPageWikiLink Category:Graph_families.
- Platonic_graph wikiPageWikiLink Category:Planar_graphs.
- Platonic_graph wikiPageWikiLink Category:Regular_graphs.
- Platonic_graph wikiPageWikiLink Cube.
- Platonic_graph wikiPageWikiLink Cubical_graph.
- Platonic_graph wikiPageWikiLink Dodecahedral_graph.
- Platonic_graph wikiPageWikiLink Edge-transitive_graph.
- Platonic_graph wikiPageWikiLink Graph_(mathematics).
- Platonic_graph wikiPageWikiLink Graph_theory.
- Platonic_graph wikiPageWikiLink Hamiltonian_graph.
- Platonic_graph wikiPageWikiLink Hamiltonian_path.
- Platonic_graph wikiPageWikiLink Icosahedral_graph.
- Platonic_graph wikiPageWikiLink K-vertex-connected_graph.
- Platonic_graph wikiPageWikiLink Mathematics.
- Platonic_graph wikiPageWikiLink Octahedral_graph.
- Platonic_graph wikiPageWikiLink Planar_graph.
- Platonic_graph wikiPageWikiLink Platonic_solid.
- Platonic_graph wikiPageWikiLink Polyhedral_graph.
- Platonic_graph wikiPageWikiLink Regular_dodecahedron.
- Platonic_graph wikiPageWikiLink Regular_graph.
- Platonic_graph wikiPageWikiLink Regular_icosahedron.
- Platonic_graph wikiPageWikiLink Regular_map_(graph_theory).
- Platonic_graph wikiPageWikiLink Tetrahedral_graph.
- Platonic_graph wikiPageWikiLink Tetrahedron.
- Platonic_graph wikiPageWikiLink Turán_graph.
- Platonic_graph wikiPageWikiLink Vertex-transitive_graph.
- Platonic_graph wikiPageWikiLink Wheel_graph.
- Platonic_graph wikiPageWikiLink File:3-cube_column_graph.svg.
- Platonic_graph wikiPageWikiLink File:3-cube_t2.svg.
- Platonic_graph wikiPageWikiLink File:3-simplex_graph.svg.
- Platonic_graph wikiPageWikiLink File:Dodecahedral_graph.neato.svg.
- Platonic_graph wikiPageWikiLink File:Icosahedron_t0_A2.png.
- Platonic_graph wikiPageWikiLink File:Polyhedral_schlegel_diagrams.svg.
- Platonic_graph wikiPageWikiLinkText "Platonic graph".
- Platonic_graph hasPhotoCollection Platonic_graph.
- Platonic_graph title "Platonic graph".
- Platonic_graph urlname "PlatonicGraph".
- Platonic_graph wikiPageUsesTemplate Template:Math-stub.
- Platonic_graph wikiPageUsesTemplate Template:Mathworld.
- Platonic_graph wikiPageUsesTemplate Template:Reflist.
- Platonic_graph subject Category:Graph_families.
- Platonic_graph subject Category:Planar_graphs.
- Platonic_graph subject Category:Regular_graphs.
- Platonic_graph hypernym Graph.
- Platonic_graph type Software.
- Platonic_graph comment "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.".
- Platonic_graph label "Platonic graph".
- Platonic_graph sameAs m.012n3tx3.
- Platonic_graph sameAs Q19598654.
- Platonic_graph sameAs Q19598654.
- Platonic_graph wasDerivedFrom Platonic_graph?oldid=673075419.
- Platonic_graph depiction Polyhedral_schlegel_diagrams.svg.
- Platonic_graph isPrimaryTopicOf Platonic_graph.