singleton graph | 2-path graph | 6-cycle graph | truncated tetrahedral graph | (5, 2)-permutation star graph | Nauru graph | (6, 2)-permutation star graph | (5, 3)-permutation star graph | (5, 4)-permutation star graph | (6, 3)-permutation star graph | (6, 4)-permutation star graph | (6, 5)-permutation star graph (total: 12)

0-hypercube graph | 0-triangular grid graph | (1, 0)-permutation star graph | (1, 1, 1, 1)-grid graph | (1, 1, 1)-grid graph | (1, 1)-antelope graph | (1, 1)-bishop graph | (1, 1)-black bishop graph | (1, 1)-camel graph | (1, 1)-fiveleaper graph | ...

(1, 1, 2)-grid graph | (1, 1)-bipartite (0, 2)-graph | (1, 1)-complete bipartite graph | (1, 1)-Sierpiński simplex graph | (1, 1)-stacked book graph | (1, 2)-bar graph | (1, 2)-Hamming graph | (1, 2)-king graph | (1, 2)-Knödel graph | (1, 2)-lattice graph | ...

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

12-cubic graph 59 | 12-vertex transitive graph 11 | (4, 2)-permutation star graph | cubic transitive graph 11

(12, 1, 5)-I graph | (12, 3)-incidence graph 210 | (12, 5, 1)-I graph | (12, 5)-generalized Petersen graph | (2, 12, 6)-honeycomb toroidal graph | 24-arc transitive graph 11 | 24-vertex transitive graph 13 | (4, 3)-arrangement graph | (4, 3)-permutation star graph | 4-permutation star graph | ...

(5, 4)-arrangement graph | 5-permutation star graph

(6, 5)-arrangement graph | 6-permutation star graph

| vertex count | edge count | connected component count singleton graph | 1 | 0 | 1 2-path graph | 2 | 1 | 1 6-cycle graph | 6 | 6 | 1 truncated tetrahedral graph | 12 | 18 | 1 (5, 2)-permutation star graph | 20 | 40 | 1 Nauru graph | 24 | 36 | 1 (6, 2)-permutation star graph | 30 | 75 | 1 (5, 3)-permutation star graph | 60 | 120 | 1 (5, 4)-permutation star graph | 120 | 240 | 1 (6, 3)-permutation star graph | 120 | 300 | 1

class 1 | connected | integral | permutation star | regular | simple | traceable | vertex-transitive | weakly perfect

| complement graph name singleton graph | singleton graph 2-path graph | 2-empty graph 6-cycle graph | 3-prism graph truncated tetrahedral graph | 12-vertex transitive graph 64 (5, 2)-permutation star graph | (not a named graph)

| dual graph name truncated tetrahedral graph | triakis tetrahedral graph

| line graph name singleton graph | null graph 2-path graph | singleton graph 6-cycle graph | 6-cycle graph truncated tetrahedral graph | truncated tetrahedral line graph (5, 2)-permutation star graph | (not a named graph)