paw graph | (4, 1)-lollipop graph | (3, 2)-tadpole graph | (4, 2)-lollipop graph | (5, 1)-lollipop graph | (3, 3)-tadpole graph | (4, 3)-lollipop graph | (5, 2)-lollipop graph | (6, 1)-lollipop graph | (3, 4)-tadpole graph | (4, 4)-lollipop graph | (5, 3)-lollipop graph | (6, 2)-lollipop graph | (7, 1)-lollipop graph | (3, 5)-tadpole graph | (4, 5)-lollipop graph | (5, 4)-lollipop graph | (6, 3)-lollipop graph | (7, 2)-lollipop graph | (5, 5)-lollipop graph | (6, 4)-lollipop graph | (7, 3)-lollipop graph | (6, 5)-lollipop graph | (7, 4)-lollipop graph | (7, 5)-lollipop graph (total: 25)

(3, 1)-lollipop graph | (3, 1)-tadpole graph | 3-pan graph | 4-graph 8 | 4-matchstick graph 1

5-graph 26

(3, 2)-lollipop graph | 5-graph 22 | 5-matchstick graph 4

6-graph 121

6-graph 134

(3, 3)-lollipop graph | 6-graph 52 | 6-matchstick graph 11

7-graph 562

7-graph 924

7-graph 996

(3, 4)-lollipop graph | 7-graph 373 | 7-matchstick graph 34

| vertex count | edge count | connected component count paw graph | 4 | 4 | 1 (4, 1)-lollipop graph | 5 | 7 | 1 (3, 2)-tadpole graph | 5 | 5 | 1 (4, 2)-lollipop graph | 6 | 8 | 1 (5, 1)-lollipop graph | 6 | 11 | 1 (3, 3)-tadpole graph | 6 | 6 | 1 (4, 3)-lollipop graph | 7 | 9 | 1 (5, 2)-lollipop graph | 7 | 12 | 1 (6, 1)-lollipop graph | 7 | 16 | 1 (3, 4)-tadpole graph | 7 | 7 | 1

asymmetric | bridged | chordal | class 1 | claw-free | connected | cyclic | geodetic | line graphs | lollipop | noncayley | nonempty | noneulerian | nonhamiltonian | perfect | simple | traceable | weakly perfect

| complement graph name paw graph | 3-path and singleton (4, 1)-lollipop graph | claw and singleton (3, 2)-tadpole graph | banner graph (4, 2)-lollipop graph | 6-graph 32 (5, 1)-lollipop graph | (1, 4)-bipartite graph and singleton