tetrahedral graph | octahedral graph | cubical graph | icosahedral graph | dodecahedral graph

(0, 1)-Egawa graph | 0-crossing number graph A | (1, 3)-Jahangir graph | (1, 4)-Hamming graph | (1, 4)-lattice graph | (1, 4)-queen graph | (1, 4)-rook graph | 1-Sierpiński tetrahedron graph | (2, 2)-king graph | (2, 2)-queen graph | ...

(2, 2, 2)-complete 3-partite graph | (2, 2, 2)-complete tripartite 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 | (4, 6)-Harary graph | ...

11-Haar graph | 13-Haar graph | 14-Haar graph | (1, 8, 3)-honeycomb toroidal graph | (1, 8, 5)-honeycomb toroidal graph | (2, 2, 2)-grid graph | (2, 4, 2)-honeycomb toroidal graph | (2, 4, 4)-honeycomb toroidal graph | (2, 4)-rook complement graph | 2-polygonal bigraph | ...

12-arc transitive graph 7 | 12-edge transitive graph 11 | 12-quintic graph 6753 | 12-vertex transitive graph 31 | (5, 1)-nonbipartite (0, 2)-graph

(10, 1, 2)-I graph | (10, 2, 1)-I graph | (10, 2)-generalized Petersen graph | (10, 3, 4)-I graph | (10, 4, 3)-I graph | 20-arc transitive graph 6 | 20-edge transitive graph 5 | 20-fullerene graph 1 | 20-vertex transitive graph 9 | cubic transitive graph 27

| vertex count | edge count | connected component count tetrahedral graph | 4 | 6 | 1 octahedral graph | 6 | 12 | 1 cubical graph | 8 | 12 | 1 icosahedral graph | 12 | 30 | 1 dodecahedral graph | 20 | 30 | 1

apex | arc-transitive | biconnected | bridgeless | class 1 | completely regular | connected | cyclic | determined by spectrum | distance-regular | distance-transitive | edge-transitive | graceful | Hamilton-decomposable | Hamiltonian | LCF | local | nonempty | perfect matching | planar | Platonic | polyhedral | projective planar | regular | simple | symmetric | traceable | vertex-transitive

| complement graph name tetrahedral graph | 4-empty graph octahedral graph | 3-ladder rung graph cubical graph | (2, 4)-rook graph icosahedral graph | 12-vertex transitive graph 40 dodecahedral graph | (20, 81)-noncayley transitive graph

| dual graph name tetrahedral graph | tetrahedral graph octahedral graph | cubical graph cubical graph | octahedral graph icosahedral graph | dodecahedral graph dodecahedral graph | icosahedral graph

| line graph name tetrahedral graph | octahedral graph octahedral graph | octahedral line graph cubical graph | cuboctahedral graph icosahedral graph | line graph of the icosahedral graph dodecahedral graph | icosidodecahedral graph

| radius | diameter | girth tetrahedral graph | 1 | 1 | 3 octahedral graph | 2 | 2 | 3 cubical graph | 3 | 3 | 4 icosahedral graph | 3 | 3 | 3 dodecahedral graph | 5 | 5 | 5 | vertex connectivity | edge connectivity tetrahedral graph | 3 | 3 octahedral graph | 4 | 4 cubical graph | 3 | 3 icosahedral graph | 5 | 5 dodecahedral graph | 3 | 3

| chromatic number | edge chromatic number tetrahedral graph | 4 | 3 octahedral graph | 3 | 4 cubical graph | 2 | 3 icosahedral graph | 4 | 5 dodecahedral graph | 3 | 3