singleton graph | 2-empty graph | 3-empty graph | 4-empty graph | 5-empty graph | 6-empty graph | 7-empty graph | 8-empty graph | 9-empty graph | 10-empty graph | 11-empty graph | 12-empty graph | 13-empty graph | 14-empty graph | 15-empty graph | 16-empty graph | 17-empty graph | 18-empty graph | 19-empty graph | 20-empty graph | ... (total: 30)

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, 2)-bishop graph | (1, 2)-camel graph | (1, 2)-fiveleaper graph | (1, 2)-giraffe graph | (1, 2)-knight graph | (1, 2)-rook complement graph | (1, 2)-zebra graph | (1, 3)-black bishop graph | (1, 4)-black bishop graph | (1, 4)-white bishop graph | ...

(1, 3)-bishop graph | (1, 3)-camel graph | (1, 3)-fiveleaper graph | (1, 3)-giraffe graph | (1, 3)-knight graph | (1, 3)-rook complement graph | (1, 3)-zebra graph | (1, 5)-black bishop graph | (1, 6)-black bishop graph | (1, 6)-white bishop graph | ...

(1, 4)-bishop graph | (1, 4)-camel graph | (1, 4)-fiveleaper graph | (1, 4)-giraffe graph | (1, 4)-knight graph | (1, 4)-rook complement graph | (1, 4)-zebra graph | (1, 7)-black bishop graph | (1, 8)-black bishop graph | (1, 8)-white bishop graph | ...

(1, 10)-black bishop graph | (1, 10)-white bishop graph | (1, 5)-bishop graph | (1, 5)-camel graph | (1, 5)-fiveleaper graph | (1, 5)-giraffe graph | (1, 5)-knight graph | (1, 5)-rook complement graph | (1, 5)-zebra graph | (1, 9)-black bishop graph | ...

(1, 6)-bishop graph | (1, 6)-camel graph | (1, 6)-giraffe graph | (1, 6)-knight graph | (1, 6)-rook complement graph | (1, 6)-zebra graph | (2, 3)-antelope graph | (2, 3)-camel graph | (2, 3)-fiveleaper graph | (2, 3)-giraffe graph | ...

(1, 7)-bishop graph | (1, 7)-camel graph | (1, 7)-giraffe graph | (1, 7)-knight graph | (1, 7)-rook complement graph | (1, 7)-zebra graph | (7, 1)-Turán graph | (7, 6)-Kneser graph | 7-circulant graph () | 7-edge-transitive graph 26 | ...

(1, 8)-bishop graph | (1, 8)-camel graph | (1, 8)-giraffe graph | (1, 8)-knight graph | (1, 8)-rook complement graph | (1, 8)-zebra graph | (2, 4)-antelope graph | (2, 4)-fiveleaper graph | (2, 4)-giraffe graph | (2, 4)-zebra graph | ...

(1, 9)-bishop graph | (1, 9)-camel graph | (1, 9)-giraffe graph | (1, 9)-knight graph | (1, 9)-rook complement graph | (1, 9)-zebra graph | (3, 3)-antelope graph | (3, 3)-camel graph | (3, 3)-fiveleaper graph | (3, 3)-giraffe graph | ...

(10, 1)-Turán graph | (10, 9)-Kneser graph | 10-circulant graph () | 10-edge-transitive graph 10 | 10-graph 1 | 10-vertex transitive graph 1 | (1, 10)-bishop graph | (1, 10)-camel graph | (1, 10)-giraffe graph | (1, 10)-knight graph | ...

| vertex count | edge count | connected component count singleton graph | 1 | 0 | 1 2-empty graph | 2 | 0 | 2 3-empty graph | 3 | 0 | 3 4-empty graph | 4 | 0 | 4 5-empty graph | 5 | 0 | 5 6-empty graph | 6 | 0 | 6 7-empty graph | 7 | 0 | 7 8-empty graph | 8 | 0 | 8 9-empty graph | 9 | 0 | 9 10-empty graph | 10 | 0 | 10

acyclic | apex | bicolorable | bipartite | bishop | bridgeless | Cayley graphs | chordal | chordless | chromatically unique | circulant | class 1 | claw-free | determined by spectrum | distance-regular | distance-transitive | edge-transitive | empty | Eulerian | forest | integral | knight | line graphs | matchstick | no perfect matching | outerplanar | perfect | planar | projective planar | pseudoforest | regular | simple | split | square-free | strongly perfect | strongly regular | symmetric | triangle-free | Turán | uniquely colorable | unit-distance | vertex-transitive | weakly perfect | well covered

| complement graph name singleton graph | singleton graph 2-empty graph | 2-path graph 3-empty graph | triangle graph 4-empty graph | tetrahedral graph 5-empty graph | pentatope graph

| line graph name singleton graph | null graph 2-empty graph | null graph 3-empty graph | null graph 4-empty graph | null graph 5-empty graph | null graph