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    Antiprism Graph

    Graphs with available data

    octahedral graph | 4-antiprism graph | 5-antiprism graph | 6-antiprism graph | 7-antiprism graph | 8-antiprism graph | 9-antiprism graph | 10-antiprism graph | 11-antiprism graph | 12-antiprism graph | 13-antiprism graph | 14-antiprism graph | 15-antiprism graph | 16-antiprism graph | 17-antiprism graph | 18-antiprism graph | 19-antiprism graph | 20-antiprism graph | 21-antiprism graph | 22-antiprism graph | 23-antiprism graph | 24-antiprism graph | 25-antiprism graph (total: 23)

    Images

    Alternate names

    (2, 2, 2)-complete 3-partite graph | (2, 2, 2)-complete tripartite graph | (3, 2)-wreath graph | 3-antiprism graph | 3-cocktail party graph | 3-great circles graph 1 | 3-triangular honeycomb queen graph | (4, 2)-cone graph | (4, 2)-Johnson graph | (4, 6)-Harary graph | ...

    (4, 8)-Harary graph | 8-circulant graph (1, 2) | 8-circulant graph (2, 3) | 8-graph 12048 | 8-quartic graph 3 | 8-vertex transitive graph 9 | square antiprism graph

    10-circulant graph (1, 2) | 10-circulant graph (3, 4) | 10-graph 11317876 | 10-quartic graph 19 | 10-vertex transitive graph 10 | (4, 10)-Harary graph | 5-diagonal intersection graph | pentagonal antiprism graph

    12-circulant graph (1, 2) | 12-circulant graph (2, 5) | 12-quartic graph 361 | 12-vertex transitive graph 22 | (4, 12)-Harary graph | hexagonal antiprism graph

    14-circulant graph (1, 2) | 14-circulant graph (3, 6) | 14-circulant graph (4, 5) | 14-quartic graph 13519 | 14-vertex transitive graph 12 | (4, 14)-Harary graph | heptagonal antiprism graph | septagonal antiprism graph

    16-circulant graph (1, 2) | 16-circulant graph (2, 7) | 16-circulant graph (3, 6) | 16-circulant graph (5, 6) | 16-vertex transitive graph 25 | (4, 16)-Harary graph | octagonal antiprism graph

    18-circulant graph (1, 2) | 18-circulant graph (4, 7) | 18-circulant graph (5, 8) | 18-vertex transitive graph 27 | (4, 18)-Harary graph | enneagonal antiprism graph | nonagonal antiprism graph | nongonal antiprism graph

    20-circulant graph (1, 2) | 20-circulant graph (2, 9) | 20-circulant graph (3, 6) | 20-circulant graph (6, 7) | 20-vertex transitive graph 41 | (4, 20)-Harary graph | decagonal antiprism graph

    22-circulant graph (1, 2) | 22-circulant graph (3, 6) | 22-circulant graph (4, 9) | 22-circulant graph (5, 10) | 22-circulant graph (7, 8) | 22-vertex transitive graph 17 | (4, 22)-Harary graph | endecagonal antiprism graph | hendecagonal antiprism graph | undecagonal antiprism graph

    24-circulant graph (1, 2) | 24-circulant graph (2, 11) | 24-circulant graph (5, 10) | 24-circulant graph (7, 10) | 24-vertex transitive graph 95 | (4, 24)-Harary graph | dodecagonal antiprism graph

    Basic properties

    | vertex count | edge count | connected component count octahedral graph | 6 | 12 | 1 4-antiprism graph | 8 | 16 | 1 5-antiprism graph | 10 | 20 | 1 6-antiprism graph | 12 | 24 | 1 7-antiprism graph | 14 | 28 | 1 8-antiprism graph | 16 | 32 | 1 9-antiprism graph | 18 | 36 | 1 10-antiprism graph | 20 | 40 | 1 11-antiprism graph | 22 | 44 | 1 12-antiprism graph | 24 | 48 | 1

    Common graph features

    antiprism | apex | biconnected | bridgeless | Cayley graphs | circulant | class 1 | claw-free | connected | cyclic | Eulerian | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | LCF | local | nonempty | pancyclic | perfect matching | planar | polyhedral | projective planar | quartic | regular | simple | traceable | vertex-transitive

    Complement graph

    | complement graph name octahedral graph | 3-ladder rung graph 4-antiprism graph | Wagner graph 5-antiprism graph | 10-circulant graph (1, 2, 5) 6-antiprism graph | 12-circulant graph (1, 3, 4, 6) 7-antiprism graph | 14-circulant graph (1, 2, 3, 6, 7)

    Dual graph

    | dual graph name octahedral graph | cubical graph

    Line graph

    | line graph name octahedral graph | octahedral line graph 4-antiprism graph | (not a named graph) 5-antiprism graph | (not a named graph) 6-antiprism graph | (not a named graph) 7-antiprism graph | (not a named graph)

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