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- Antiprism_graph abstract "In the mathematical field of graph theory, an antiprism graph is a graph that has one of the antiprisms as its skeleton. An n-sided antiprism has 2n vertices and 4n edges. They are regular, polyhedral (and therefore by necessity also 3-vertex-connected, vertex-transitive, and planar graphs), and also Hamiltonian graphs.An antiprism graph is a special case of a circulant graph, Ci2n(2,1). The first graph in the sequence, the octahedral graph, has 6 vertices and 12 edges. Later graphs in the sequence may be named after the type of antiprism they correspond to: Octahedral graph – 6 vertices, 12 edges square antiprismatic graph – 8 vertices, 16 edges Pentagonal antiprismatic graph – 10 vertices, 20 edges Hexagonal antiprismatic graph – 12 vertices, 24 edges Heptagonal antiprismatic graph – 14 vertices, 28 edges Octagonal antiprismatic graph– 16 vertices, 32 edges ...Although geometrically the star polygons also form the faces of a different sequence of (self-intersecting) antiprisms, the star antiprisms, they do not form a different sequence of graphs.Other infinite sequences of polyhedral graph formed in a similar way from polyhedra with regular-polygon bases include the prism graphs (graphs of prisms) and wheel graphs (graphs of pyramids). Other vertex-transitive polyhedral graphs include the Archimedean graphs.".
- Antiprism_graph thumbnail 3-cube_t2.svg?width=300.
- Antiprism_graph wikiPageID "45012210".
- Antiprism_graph wikiPageLength "2354".
- Antiprism_graph wikiPageOutDegree "33".
- Antiprism_graph wikiPageRevisionID "682472300".
- Antiprism_graph wikiPageWikiLink Antiprism.
- Antiprism_graph wikiPageWikiLink Archimedean_graph.
- Antiprism_graph wikiPageWikiLink Category:Graph_families.
- Antiprism_graph wikiPageWikiLink Category:Planar_graphs.
- Antiprism_graph wikiPageWikiLink Category:Regular_graphs.
- Antiprism_graph wikiPageWikiLink Circulant_graph.
- Antiprism_graph wikiPageWikiLink Graph_(mathematics).
- Antiprism_graph wikiPageWikiLink Graph_theory.
- Antiprism_graph wikiPageWikiLink Hamiltonian_graph.
- Antiprism_graph wikiPageWikiLink Hamiltonian_path.
- Antiprism_graph wikiPageWikiLink Heptagonal_antiprism.
- Antiprism_graph wikiPageWikiLink Hexagonal_antiprism.
- Antiprism_graph wikiPageWikiLink K-vertex-connected_graph.
- Antiprism_graph wikiPageWikiLink Mathematics.
- Antiprism_graph wikiPageWikiLink Octagonal_antiprism.
- Antiprism_graph wikiPageWikiLink Octahedral_graph.
- Antiprism_graph wikiPageWikiLink Pentagonal_antiprism.
- Antiprism_graph wikiPageWikiLink Planar_graph.
- Antiprism_graph wikiPageWikiLink Polyhedral_graph.
- Antiprism_graph wikiPageWikiLink Prism_(geometry).
- Antiprism_graph wikiPageWikiLink Prism_graph.
- Antiprism_graph wikiPageWikiLink Pyramid_(geometry).
- Antiprism_graph wikiPageWikiLink Regular_graph.
- Antiprism_graph wikiPageWikiLink Square_antiprism.
- Antiprism_graph wikiPageWikiLink Star_polygon.
- Antiprism_graph wikiPageWikiLink Turán_graph.
- Antiprism_graph wikiPageWikiLink Vertex-transitive_graph.
- Antiprism_graph wikiPageWikiLink Wheel_graph.
- Antiprism_graph wikiPageWikiLink File:3-cube_t2.svg.
- Antiprism_graph wikiPageWikiLink File:Heptagonal_antiprism_graph.png.
- Antiprism_graph wikiPageWikiLink File:Hexagonal_antiprismatic_graph.png.
- Antiprism_graph wikiPageWikiLink File:Octagonal_antiprismatic_graph.png.
- Antiprism_graph wikiPageWikiLink File:Pentagonal_antiprismatic_graph.png.
- Antiprism_graph wikiPageWikiLink File:Square_antiprismatic_graph.png.
- Antiprism_graph wikiPageWikiLinkText "antiprism graph".
- Antiprism_graph hasPhotoCollection Antiprism_graph.
- Antiprism_graph title "Antiprism graph".
- Antiprism_graph urlname "AntiprismGraph".
- Antiprism_graph wikiPageUsesTemplate Template:Math-stub.
- Antiprism_graph wikiPageUsesTemplate Template:Mathworld.
- Antiprism_graph wikiPageUsesTemplate Template:Reflist.
- Antiprism_graph subject Category:Graph_families.
- Antiprism_graph subject Category:Planar_graphs.
- Antiprism_graph subject Category:Regular_graphs.
- Antiprism_graph hypernym Graph.
- Antiprism_graph type Software.
- Antiprism_graph comment "In the mathematical field of graph theory, an antiprism graph is a graph that has one of the antiprisms as its skeleton. An n-sided antiprism has 2n vertices and 4n edges. They are regular, polyhedral (and therefore by necessity also 3-vertex-connected, vertex-transitive, and planar graphs), and also Hamiltonian graphs.An antiprism graph is a special case of a circulant graph, Ci2n(2,1). The first graph in the sequence, the octahedral graph, has 6 vertices and 12 edges.".
- Antiprism_graph label "Antiprism graph".
- Antiprism_graph sameAs m.012m_1ln.
- Antiprism_graph sameAs Q19595912.
- Antiprism_graph sameAs Q19595912.
- Antiprism_graph wasDerivedFrom Antiprism_graph?oldid=682472300.
- Antiprism_graph depiction 3-cube_t2.svg.
- Antiprism_graph isPrimaryTopicOf Antiprism_graph.