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    Möbius Ladder

    Graphs with available data

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

    Images

    Alternate names

    (1, 6, 3)-honeycomb toroidal graph | 1-crossing number graph A | (3, 1)-Goethals-Seidel block design graph | (3, 3)-complete 2-partite graph | (3, 3)-complete bipartite graph | (3, 6)-Harary graph | 3-Möbius ladder graph | 3-Möbius wheel | 3-transposition graph | (6, 2)-Turán graph | ...

    (3, 8)-Harary graph | 3-Andrásfai graph | 4-Möbius ladder graph | 4-Möbius wheel | (8, 12, 3)-unit distance forbidden graph | 8-circulant graph (1, 4) | 8-circulant graph (3, 4) | 8-cubic graph 5 | 8-graph 9944 | 8-vertex transitive graph 5 | cubic transitive graph 4

    10-circulant graph (1, 5) | 10-circulant graph (3, 5) | 10-cubic graph 17 | 10-graph 1625186 | 10-vertex transitive graph 6 | (1, 10, 3)-honeycomb toroidal graph | (1, 10, 5)-honeycomb toroidal graph | (1, 10, 7)-honeycomb toroidal graph | 19-Haar graph | 21-Haar graph | ...

    12-circulant graph (1, 6) | 12-circulant graph (5, 6) | 12-cubic graph 72 | 12-vertex transitive graph 9 | (3, 12)-Harary graph | 3-regular nonplanar graph with diameter 3 on 12 vertices number 20 | 6-Möbius wheel | cubic transitive graph 10

    100-Haar graph | 112-Haar graph | (1, 14, 11)-honeycomb toroidal graph | (1, 14, 3)-honeycomb toroidal graph | (1, 14, 7)-honeycomb toroidal graph | 14-circulant graph (1, 7) | 14-circulant graph (3, 7) | 14-circulant graph (5, 7) | 14-cubic graph 438 | 14-vertex transitive graph 6 | ...

    16-circulant graph (1, 8) | 16-circulant graph (3, 8) | 16-circulant graph (5, 8) | 16-circulant graph (7, 8) | 16-vertex transitive graph 9 | (3, 16)-Harary graph | 8-Möbius wheel | cubic transitive graph 17

    (1, 18, 15)-honeycomb toroidal graph | (1, 18, 3)-honeycomb toroidal graph | (1, 18, 9)-honeycomb toroidal graph | 18-circulant graph (1, 9) | 18-circulant graph (5, 9) | 18-circulant graph (7, 9) | 18-vertex transitive graph 9 | 259-Haar graph | 266-Haar graph | 273-Haar graph | ...

    10-Möbius wheel | 20-circulant graph (1, 10) | 20-circulant graph (3, 10) | 20-circulant graph (7, 10) | 20-circulant graph (9, 10) | 20-vertex transitive graph 14 | (3, 20)-Harary graph | cubic transitive graph 31

    1027-Haar graph | 1034-Haar graph | 1057-Haar graph | 1060-Haar graph | 1072-Haar graph | 1092-Haar graph | 1096-Haar graph | 1156-Haar graph | 1160-Haar graph | 1168-Haar graph | ...

    12-Möbius wheel | 24-circulant graph (11, 12) | 24-circulant graph (1, 12) | 24-circulant graph (5, 12) | 24-circulant graph (7, 12) | 24-vertex transitive graph 19 | (3, 24)-Harary graph | cubic transitive graph 44

    Basic properties

    | vertex count | edge count | connected component count utility graph | 6 | 9 | 1 Wagner graph | 8 | 12 | 1 5-Möbius ladder graph | 10 | 15 | 1 6-Möbius ladder graph | 12 | 18 | 1 7-Möbius ladder graph | 14 | 21 | 1 8-Möbius ladder graph | 16 | 24 | 1 9-Möbius ladder graph | 18 | 27 | 1 10-Möbius ladder graph | 20 | 30 | 1 11-Möbius ladder graph | 22 | 33 | 1 12-Möbius ladder graph | 24 | 36 | 1

    Common graph features

    apex | biconnected | biplanar | bridgeless | Cayley graphs | circulant | class 1 | connected | critical nonplanar | cubic | cyclic | graceful | Hamilton-decomposable | Hamiltonian | H-star connected | LCF | local | Möbius ladder | nonempty | noneulerian | nonplanar | perfect matching | projective planar | regular | simple | singlecross | toroidal | traceable | triangle-free | vertex-transitive

    Complement graph

    | complement graph name utility graph | two triangles Wagner graph | 4-antiprism graph 5-Möbius ladder graph | 10-circulant graph (1, 2, 4) 6-Möbius ladder graph | 12-circulant graph (1, 2, 3, 4) 7-Möbius ladder graph | 14-circulant graph (1, 2, 3, 4, 6)

    Line graph

    | line graph name utility graph | generalized quadrangle (2, 1) Wagner graph | (not a named graph) 5-Möbius ladder graph | (not a named graph) 6-Möbius ladder graph | (not a named graph) 7-Möbius ladder graph | (not a named graph)

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