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