| No. of vertices | Graph | Intersection Array |
| 12 | $K_{6,6}-I$ | $\{5,4,1;1,4,5\}$ |
| 12 | Icosahedron | $\{5,2,1;1,2,5\}$ |
| 16 | Clebsch graph | $\{5,4;1,2\}$ |
| 22 | Incidence graph of biplane | $\{5,4,3;1,2,5\}$ |
| 32 | 5-cube $Q_5 \cong H(5,2)$ | $\{5,4,3,2,1;1,2,3,4,5\}$ |
| 32 | Armanios-Wells graph | $\{5,4,1,1;1,1,4,5\}$ |
| 36 | Sylvester graph | $\{5,4,2;1,1,4\}$ |
| 42 | Incidence graph of $PG(2,4)$ | $\{5,4,4;1,1,5\}$ |
| 50 | Incidence graph of $AG(2,5)$ minus a parallel class | $\{5,4,4,1;1,1,4,5\}$ |
| 126 | Odd graph $O_5$ | $\{5,4,4,3;1,1,2,2\}$ |
| 170 | Incidence graph of $GQ(4,4)$ | $\{5,4,4,4;1,1,1,5\}$ |
| 252 | Doubled Odd Graph $D(O_5)$ | $\{5,4,4,3,3,2,2,1,1;1,1,2,2,3,3,4,4,5\}$ |
Back to: Graphs by valency
Last updated: 21 February 2017