singleton graph | 2-empty graph | 2-path and singleton | 4-path graph | house graph | 6-path complement graph | 7-path complement graph | 8-path complement graph | 9-path complement graph | 10-path complement graph | 11-path complement graph | 12-path complement graph | 13-path complement graph | 14-path complement graph | 15-path complement graph | 16-path complement graph | 17-path complement graph | 18-path complement graph | 19-path complement graph | 20-path complement graph (total: 20)

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 | ...

2-triangular honeycomb rook graph | 3-edge-transitive graph 4 | 3-graph 2 | 3-path complement graph

(1, 1, 4)-grid graph | (1, 4)-king graph | (2, 2)-firecracker graph | (2, 4)-black bishop graph | (2, 4)-white bishop graph | 2-centipede graph | 2-shuffle-exchange graph | 3-matchstick graph 3 | 4-graph 7 | (4)-grid graph | ...

(5, 1)-uniquely pancyclic graph | 5-graph 28 | 5-path complement graph | 6-matchstick graph 7 | square with triangle graph

(6, 1)-self dual graph | 6-graph 145 | hexahedral graph 3 | tetragonal antiwedge graph

7-graph 1026

8-graph 12315

9-graph 274620

10-graph 12005088

| vertex count | edge count | connected component count singleton graph | 1 | 0 | 1 2-empty graph | 2 | 0 | 2 2-path and singleton | 3 | 1 | 2 4-path graph | 4 | 3 | 1 house graph | 5 | 6 | 1 6-path complement graph | 6 | 10 | 1 7-path complement graph | 7 | 15 | 1 8-path complement graph | 8 | 21 | 1 9-path complement graph | 9 | 28 | 1 10-path complement graph | 10 | 36 | 1

class 1 | claw-free | path complement | perfect | simple | weakly perfect | well covered

| complement graph name singleton graph | singleton graph 2-empty graph | 2-path graph 2-path and singleton | 3-path graph 4-path graph | 4-path graph house graph | 5-path graph

| line graph name singleton graph | null graph 2-empty graph | null graph 2-path and singleton | singleton graph 4-path graph | 3-path graph house graph | (6, 9, 1)-unit distance forbidden graph