singleton graph | 2-path graph | claw graph | 5-star graph | H graph | 6-star graph | 7-star graph | 7-tree 4 | 2-alkane graph | 8-star graph | 8-tree 20 | 8-tree 21 | 9-star graph | 9-tree 42 | 9-tree 43 | 9-tree 44 | 9-tree 46 | (3, 2)-Cayley tree | 10-star graph | 10-tree 95 | ... (total: 100)

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, 3)-complete 2-partite graph | (1, 3)-complete bipartite graph | (3, 1)-Cayley tree | (3, 1)-stacked book graph | 3-matchstick graph 2 | 4-edge-transitive graph 4 | 4-graph 4 | 4-star graph | 4-tree 2 | Y graph

(1, 4)-complete 2-partite graph | (1, 4)-complete bipartite graph | 1-alkane graph | 1-n-alkane graph | (4, 1)-Cayley tree | (4, 1)-stacked book graph | 4-matchstick graph 2 | 5-edge-transitive graph 12 | 5-graph 5 | 5-tree 4 | ...

5-matchstick graph 8 | 6-graph 18 | 6-tree 5

(1, 5)-complete 2-partite graph | (1, 5)-complete bipartite graph | (5, 1)-Cayley tree | (5, 1)-stacked book graph | 5-matchstick graph 5 | 6-edge-transitive graph 18 | 6-graph 6 | 6-tree 6

(1, 6)-complete 2-partite graph | (1, 6)-complete bipartite graph | (6, 1)-Cayley tree | (6, 1)-stacked book graph | 6-matchstick graph 12 | 7-edge-transitive graph 27 | 7-graph 7 | 7-tree 2

6-matchstick graph 15 | 7-graph 24

2-n-alkane graph | 7-matchstick graph 44 | 8-graph 49 | 8-tree 22 | ethane graph | n-ethane graph

(1, 7)-complete 2-partite graph | (1, 7)-complete bipartite graph | (7, 1)-Cayley tree | (7, 1)-stacked book graph | 7-matchstick graph 35 | 8-edge-transitive graph 16 | 8-graph 8 | 8-tree 23

| vertex count | edge count | connected component count singleton graph | 1 | 0 | 1 2-path graph | 2 | 1 | 1 claw graph | 4 | 3 | 1 5-star graph | 5 | 4 | 1 H graph | 6 | 5 | 1 6-star graph | 6 | 5 | 1 7-star graph | 7 | 6 | 1 7-tree 4 | 7 | 6 | 1 2-alkane graph | 8 | 7 | 1 8-star graph | 8 | 7 | 1

acyclic | apex | bicolorable | bipartite | cactus | chordal | chordless | class 1 | connected | forest | geodetic | matchstick | outerplanar | perfect | planar | projective planar | pseudoforest | pseudotree | series-reduced | simple | square-free | tree | triangle-free | uniquely colorable | unit-distance | weakly perfect

| complement graph name singleton graph | singleton graph 2-path graph | 2-empty graph claw graph | triangle and singleton 5-star graph | tetrahedron and singleton H graph | 6-graph 135