Graph | No. of vertices | Diameter |
Symplectic 3-cover of $K_{17}$ | 51 | 3 |
Flag graph of $PG(2,3)$ | 52 | 3 |
Paley graph $P_{53}$ | 53 | 2 |
Incidence graph of $\mathrm{STD}_3[9;3]$ | 54 | 4 |
$J(11,2)$ | 55 | 2 |
$\mathrm{K}(11,2)$ | 55 | 2 |
Gosset graph | 56 | 3 |
Distance-2 graph of Gosset graph | 56 | 3 |
Gewirtz graph | 56 | 2 |
$J(8,3)$ | 56 | 3 |
Perkel graph | 57 | 3 |
Symplectic 5-cover of $K_{12}$ | 60 | 3 |
Paley graph $P_{61}$ | 61 | 2 |
Incidence graph of $PG(2,5)$ | 62 | 3 |
Incidence graph of $PG(4,2)$ | 62 | 3 |
Point graphs of $GH(2,2)$ and its dual | 63 | 3 |
$\mathrm{Sp}_6(2)$ graph $\cong \mathrm{O}_7(2)$ graph | 63 | 2 |
Symplectic 7-cover of $K_9$ | 63 | 3 |
Conway-Smith graph | 63 | 4 |
Incidence graph of $\mathrm{STD}_2[8;4]$ | 64 | 4 |
6-cube $Q_6 \cong H(6,2)$ | 64 | 6 |
$H(3,4)$ | 64 | 3 |
$H(2,8)$ | 64 | 2 |
Bilinear forms graph $\mathrm{H}_2(2,3) \cong$ Van Lint–Schrijver graph on 64 vertices | 64 | 2 |
Folded 7-cube | 64 | 3 |
Halved 7-cube | 64 | 3 |
Halved Folded 8-cube | 64 | 2 |
Point graph of $GQ(3,5)$ | 64 | 2 |
$\mathrm{VO}_6^-(2)$ graph | 64 | 2 |
$\mathrm{VO}_6^+(2)$ graph | 64 | 2 |
Gritsenko graph | 65 | 2 |
Hall graph | 65 | 3 |
$J(12,2)$ | 66 | 2 |
$\mathrm{K}(12,2)$ | 66 | 2 |
Doro graph | 68 | 3 |
$J(8,4)$ | 70 | 4 |
Doubled Odd graph $D(O_4)$ | 70 | 7 |
Suetake graph | 72 | 4 |
Paley graph $P_{73}$ | 73 | 2 |
$\mathrm{M}_{22}$ graph | 77 | 2 |
$J(13,2)$ | 78 | 2 |
$\mathrm{K}(13,2)$ | 78 | 2 |
Incidence graph of $GQ(3,3)$ | 80 | 4 |
Incidence graph of $PG(3,3)$ | 80 | 3 |
Brouwer–Haemers graph $\cong \mathrm{VO}_4^-(3)$ graph | 81 | 2 |
$H(2,9)$ | 81 | 2 |
$H(4,3)$ | 81 | 4 |
Paley graph $P_{81}$ | 81 | 2 |
Peisert graph on 81 vertices | 81 | 2 |
$\mathrm{VNO}_4^-(3)$ graph | 81 | 2 |
$\mathrm{VO}_4^+(3)$ graph $\cong$ Bilinear forms graph $\mathrm{H}_3(2,2)$ | 81 | 2 |
$J(9,3)$ | 84 | 3 |
Point graph of $GQ(4,4)$ | 85 | 2 |
Symplectic 5-cover of $K_{17}$ | 85 | 3 |
Paley graph $P_{89}$ | 89 | 2 |
Foster graph | 90 | 8 |
$J(14,2)$ | 91 | 2 |
$\mathrm{K}(14,2)$ | 91 | 2 |
Paley graph $P_{97}$ | 97 | 2 |
Incidence graph of $AG(2,7)$ minus a parallel class | 98 | 4 |
$H(2,10)$ | 100 | 2 |
Higman-Sims graph | 100 | 2 |
Hall-Janko graph | 100 | 2 |
Cocliques in Hoffman-Singleton graph | 100 | 4 |
Doubled Hoffman-Singleton graph | 100 | 5 |
Jørgensen–Klin graph | 100 | 2 |