triangle graph | square graph | 5-cycle graph | 6-cycle graph | 7-cycle graph | 8-cycle graph | 9-cycle graph | 10-cycle graph | 11-cycle graph | 12-cycle graph | 13-cycle graph | 14-cycle graph | 15-cycle graph | 16-cycle graph | 17-cycle graph | 18-cycle graph | 19-cycle graph | 20-cycle graph | 21-cycle graph | 22-cycle graph | ... (total: 28)

(1, 1, 1)-complete tripartite graph | (1, 2)-fan graph | (1, 3)-Hamming graph | (1, 3)-KC graph | (1, 3)-lattice graph | (1, 3)-queen graph | (1, 3)-rook graph | 1-Dorogovtsev-Goltsev-Mendes graph | 1-Hanoi graph | 1-polyiamond 1 | ...

(1, 2, 2)-grid graph | (1, 2)-stacked book graph | (1, 4, 1)-honeycomb toroidal graph | (1, 4, 3)-honeycomb toroidal graph | (1, 4)-KC graph | 1-book graph | 1-polyomino graph 1 | (2, 1)-bipartite (0, 2)-graph | (2, 1)-Goethals-Seidel block design graph | (2, 2)-bar graph | ...

(1, 5)-KC graph | (2, 5)-Harary graph | 2-Andrásfai graph | 3-Mycielski graph | (5, 1)-stacked prism graph | (5, 1)-uniquely hamiltonian graph | (5, 1)-wreath graph | 5-arc transitive graph 1 | 5-circulant graph (1) | 5-circulant graph (2) | ...

(1, 1, 1)-hexagonal grid graph | (1, 6, 1)-honeycomb toroidal graph | (1, 6, 5)-honeycomb toroidal graph | (1, 6)-KC graph | 1-fusene graph 1 | 1-middle layer graph | 1-polyhex bar | (2, 2, 3)-Bouwer graph | (2, 3)-bar graph | (2, 3)-rook complement graph | ...

(1, 7)-KC graph | (2, 7)-Harary graph | (7, 1)-stacked prism graph | (7, 1)-wreath graph | (7, 20)-uniquely hamiltonian graph | 7-arc transitive graph 1 | 7-circulant graph (1) | 7-circulant graph (2) | 7-circulant graph (3) | 7-cyclotomic graph | ...

12-Haar graph | (1, 8, 1)-honeycomb toroidal graph | (1, 8, 7)-honeycomb toroidal graph | (1, 8)-KC graph | 1-Sierpiński carpet graph | (2, 4)-bar graph | (2, 8)-Harary graph | (2, 8)-Knödel graph | 2-Hadamard graph | (8, 103)-uniquely hamiltonian graph | ...

(1, 9)-KC graph | (2, 9)-Harary graph | (9, 1)-stacked prism graph | (9, 1)-wreath graph | (9, 3844)-uniquely hamiltonian graph | 9-arc transitive graph 1 | 9-circulant graph (1) | 9-circulant graph (2) | 9-circulant graph (4) | 9-edge-transitive graph 7 | ...

(10, 1)-stacked prism graph | (10, 1)-wreath graph | (10, 29742)-uniquely hamiltonian graph | 10-arc transitive graph 1 | 10-circulant graph (1) | 10-circulant graph (3) | 10-edge-transitive graph 9 | 10-graph 1050892 | 10-matchstick graph 2007 | 10-vertex transitive graph 3 | ...

(1, 11)-KC graph | (11, 1)-wreath graph | 11-arc transitive graph 1 | 11-circulant graph (1) | 11-circulant graph (2) | 11-circulant graph (3) | 11-circulant graph (4) | 11-circulant graph (5) | 11-edge-transitive graph 6 | 11-vertex transitive graph 2 | (2, 11)-Harary graph

(1, 12, 11)-honeycomb toroidal graph | (1, 12, 1)-honeycomb toroidal graph | (1, 12)-KC graph | (12, 1)-wreath graph | 12-arc transitive graph 1 | 12-circulant graph (1) | 12-circulant graph (5) | 12-edge transitive graph 2 | 12-vertex transitive graph 3 | (2, 12)-Harary graph | ...

| vertex count | edge count | connected component count triangle graph | 3 | 3 | 1 square graph | 4 | 4 | 1 5-cycle graph | 5 | 5 | 1 6-cycle graph | 6 | 6 | 1 7-cycle graph | 7 | 7 | 1 8-cycle graph | 8 | 8 | 1 9-cycle graph | 9 | 9 | 1 10-cycle graph | 10 | 10 | 1 11-cycle graph | 11 | 11 | 1 12-cycle graph | 12 | 12 | 1

apex | arc-transitive | biconnected | bridgeless | cactus | Cayley graphs | chordless | chromatically unique | circulant | claw-free | conformally rigid | connected | cycle | cyclic | determined by spectrum | distance-regular | distance-transitive | dominating unique | edge-transitive | Eulerian | Hamilton-decomposable | Hamiltonian | Harary | KC | LCF | line graphs | linklessly embeddable | local | map | matchstick | nonempty | outerplanar | planar | projective planar | pseudoforest | pseudotree | quadratically embeddable | regular | simple | symmetric | traceable | two-regular | unicyclic | uniquely embeddable | uniquely Hamiltonian | unit-distance | vertex-transitive | wreath

| complement graph name triangle graph | 3-empty graph square graph | 2-ladder rung graph 5-cycle graph | 5-cycle graph 6-cycle graph | 3-prism graph 7-cycle graph | 7-circulant graph (1, 2)