A sextic graph is a regular graph of degree six. The numbers of simple sextic graphs on , 8, ... nodes are 1, 1, 4, 21, 266, 7846, 367860, ... (OEIS A006822). Examples are illustrated above and summarized in the following table.
graph | |
7-complete graph | 7 |
16-cell graph | 8 |
(6,4)-cone graph | 10 |
5-triangular graph | 10 |
complete bipartite graph (6,6) | 12 |
13-Paley graph | 13 |
7-crown graph | 14 |
generalized quadrangle (2,2) | 15 |
Shrikhande graph | 16 |
(16,6,2,2)-strongly regular graph 1 | 16 |
(6,5)-cage graph | 40 |
Hoffman-Singleton graph minus star | 42 |
generalized hexagon (3,1) | 52 |
Perkel graph | 57 |
generalized hexagon (1,5) | 62 |
6-hypercube graph | 64 |
(6,8)-cage graph | 312 |
6-odd graph | 462 |