3-dipyramidal graph | octahedral graph | 5-dipyramidal graph | 6-dipyramidal graph | 7-dipyramidal graph | 8-dipyramidal graph | 9-dipyramidal graph | 10-dipyramidal graph | 11-dipyramidal graph | 12-dipyramidal graph | 13-dipyramidal graph | 14-dipyramidal graph | 15-dipyramidal graph | 16-dipyramidal graph | 17-dipyramidal graph | 18-dipyramidal graph | 19-dipyramidal graph | 20-dipyramidal graph (total: 18)

(1, 1, 1, 2)-complete 4-partite graph | (3, 2)-cone graph | 3-bipyramidal graph | 3-tree (5, 1) | (5, 1)-triangulated graph | (5, 2)-polyhedral graph | (5, 4)-Turán graph | 5-graph 33 | 5-planar nonbipartite odd shortest path count graph 1 | Johnson solid skeleton 12 | pentahedral graph 2

(2, 2, 2)-complete 3-partite graph | (2, 2, 2)-complete tripartite graph | (3, 1)-accordion graph | (3, 2)-wreath graph | 3-antiprism graph | 3-cocktail party graph | 3-great circles graph 1 | 3-triangular honeycomb queen graph | (4, 2)-cone graph | (4, 2)-Johnson graph | ...

(5, 2)-cone graph | 5-bipyramidal graph | (7, 32)-polyhedral graph | (7, 4)-triangulated graph | 7-graph 1014 | 7-planar nonbipartite odd shortest path count graph 2 | heptahedral graph 32 | Johnson solid skeleton 13 | pentagonal dipyramid graph

(6, 2)-cone graph | 6-bipyramidal graph | (8, 192)-polyhedral graph | 8-graph 10897 | 8-triangulated graph 1 | octahedral graph 192

(7, 2)-cone graph | 7-bipyramidal graph | (9, 1827)-polyhedral graph | (9, 25)-triangulated graph | 9-graph 235340 | nonahedral graph 1827

(10, 18400)-polyhedral graph | (10, 94)-triangulated graph | 10-graph 6946281 | (8, 2)-cone graph | 8-bipyramidal graph | decahedral graph 18400

(11, 184134)-polyhedral graph | (11, 419)-triangulated graph | 184134-undecahedral graph | (9, 2)-cone graph | 9-bipyramidal graph

(10, 2)-cone graph | 10-bipyramidal graph | (12, 1996390)-polyhedral graph | (12, 2007)-triangulated graph | 1996390-dodecahedral graph

(11, 2)-cone graph | 11-bipyramidal graph | (13, 10359)-triangulated graph | (13, 22694069)-polyhedral graph

(12, 2)-cone graph | 12-bipyramidal graph | (14, 264103281)-polyhedral graph

| vertex count | edge count | connected component count 3-dipyramidal graph | 5 | 9 | 1 octahedral graph | 6 | 12 | 1 5-dipyramidal graph | 7 | 15 | 1 6-dipyramidal graph | 8 | 18 | 1 7-dipyramidal graph | 9 | 21 | 1 8-dipyramidal graph | 10 | 24 | 1 9-dipyramidal graph | 11 | 27 | 1 10-dipyramidal graph | 12 | 30 | 1 11-dipyramidal graph | 13 | 33 | 1 12-dipyramidal graph | 14 | 36 | 1

apex | biconnected | bridgeless | cone | connected | cyclic | dipyramid | fully reconstructible in C^1 | Hamilton-connected | Hamiltonian | H-star connected | linklessly embeddable | map | nonempty | pancyclic | planar | polyhedral | projective planar | rigid | simple | traceable | triangulated | uniquely embeddable

| complement graph name 3-dipyramidal graph | 2-path and three singletons octahedral graph | 3-ladder rung graph 5-dipyramidal graph | pentagon and 2-path 6-dipyramidal graph | (not a named graph) 7-dipyramidal graph | (not a named graph)

| dual graph name 3-dipyramidal graph | 3-prism graph octahedral graph | cubical graph 5-dipyramidal graph | 5-prism graph 6-dipyramidal graph | 6-prism graph 7-dipyramidal graph | 7-prism graph

| line graph name 3-dipyramidal graph | (not a named graph) octahedral graph | octahedral line graph 5-dipyramidal graph | (not a named graph) 6-dipyramidal graph | (not a named graph) 7-dipyramidal graph | (not a named graph)