2-path graph | 3-path graph | claw graph | 4-path graph | 5-path graph | 5-star graph | 6-path graph | 6-star graph | 7-path graph | (3, 2)-spoke graph | 7-star graph | 8-star graph | 9-path graph | (4, 2)-spoke graph | 9-star graph | (3, 3)-spoke graph | 10-star graph | 11-path graph | (5, 2)-spoke graph | 11-star graph | ... (total: 51)

0-Dorogovtsev-Goltsev-Mendes graph | (1, 1, 2)-grid graph | (1, 1)-bipartite (0, 2)-graph | (1, 1)-complete bipartite graph | (1, 1)-Sierpiński simplex graph | (1, 1)-spoke graph | (1, 1)-stacked book graph | (1, 2)-bar graph | (1, 2)-Hamming graph | (1, 2)-king graph | ...

(1, 1, 3)-grid graph | (1, 2)-complete 2-partite graph | (1, 2)-complete bipartite graph | (1, 2)-Sierpiński simplex graph | (1, 3, 1)-quasi-regular graph | (1, 3)-king graph | (1, 3)-KP graph | 1-tree (3, 1) | (2, 1)-spoke graph | (2, 1)-stacked book graph | ...

(1, 3)-complete 2-partite graph | (1, 3)-complete bipartite graph | 1-tree (4, 2) | (3, 1)-Cayley tree | (3, 1)-spoke graph | (3, 1)-stacked book graph | 3-Lucas cube graph | 3-matchstick graph 2 | 4-edge-transitive graph 4 | 4-graph 4 | ...

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

(1, 1, 5)-grid graph | (1, 3)-Sierpiński simplex graph | (1, 4)-spoke graph | (1, 5)-king graph | (1, 5)-KP graph | 1-tree (5, 1) | (2, 2)-spoke graph | (2, 5)-black bishop graph | (2, 5)-white bishop graph | 4-matchstick graph 5 | ...

(1, 4)-complete 2-partite graph | (1, 4)-complete bipartite graph | 1-alkane graph | 1-n-alkane graph | 1-tree (5, 3) | (4, 1)-Cayley tree | (4, 1)-spoke graph | (4, 1)-stacked book graph | 4-matchstick graph 2 | 5-edge-transitive graph 12 | ...

(1, 1, 6)-grid graph | (1, 5)-spoke graph | (1, 6)-king graph | (1, 6)-KP graph | 1-tree (6, 1) | (2, 6)-black bishop graph | (2, 6)-white bishop graph | 5-matchstick graph 12 | 6-graph 50 | (6)-grid graph | ...

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

(1, 1, 7)-grid graph | (1, 7)-king graph | (1, 7)-KP graph | 1-tree (7, 11) | (2, 3)-spoke graph | (2, 7)-black bishop graph | (2, 7)-white bishop graph | 6-matchstick graph 28 | 7-graph 372 | (7)-grid graph | 7-tree 11

1-tree (7, 8) | 6-matchstick graph 23 | 7-graph 351 | 7-tree 8 | pathwidth 1 forbidden minor 2

| vertex count | edge count | connected component count 2-path graph | 2 | 1 | 1 3-path graph | 3 | 2 | 1 claw graph | 4 | 3 | 1 4-path graph | 4 | 3 | 1 5-path graph | 5 | 4 | 1 5-star graph | 5 | 4 | 1 6-path graph | 6 | 5 | 1 6-star graph | 6 | 5 | 1 7-path graph | 7 | 6 | 1 (3, 2)-spoke graph | 7 | 6 | 1

acyclic | apex | bicolorable | bipartite | block | bridged | cactus | chordal | chordless | class 1 | connected | distance-hereditary | forest | geodetic | graceful | k-tree | linklessly embeddable | map | matchstick | median | Meyniel | nonempty | noneulerian | nonhamiltonian | outerplanar | perfect | planar | projective planar | pseudoforest | pseudotree | Ptolemaic | quadratically embeddable | simple | spoke | square-free | tree | triangle-free | uniquely colorable | uniquely embeddable | unit-distance | weakly perfect

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