Distance-regular graphs from 51 to 100 vertices

GraphNo. of verticesDiameter
Symplectic 3-cover of $K_{17}$513
Flag graph of $PG(2,3)$523
Paley graph $P_{53}$532
Incidence graph of $\mathrm{STD}_3[9;3]$544
$J(11,2)$552
$\mathrm{K}(11,2)$552
Gosset graph563
Distance-2 graph of Gosset graph563
Gewirtz graph562
$J(8,3)$563
Perkel graph573
Symplectic 5-cover of $K_{12}$603
Paley graph $P_{61}$612
Incidence graph of $PG(2,5)$623
Incidence graph of $PG(4,2)$623
Point graphs of $GH(2,2)$ and its dual633
$\mathrm{Sp}_6(2)$ graph $\cong \mathrm{O}_7(2)$ graph632
Symplectic 7-cover of $K_9$633
Conway-Smith graph634
Incidence graph of $\mathrm{STD}_2[8;4]$644
6-cube $Q_6 \cong H(6,2)$646
$H(3,4)$643
$H(2,8)$642
Bilinear forms graph $\mathrm{H}_2(2,3) \cong$ Van Lint–Schrijver
graph on 64 vertices
642
Folded 7-cube643
Halved 7-cube643
Halved Folded 8-cube642
Point graph of $GQ(3,5)$642
$\mathrm{VO}_6^-(2)$ graph642
$\mathrm{VO}_6^+(2)$ graph642
Gritsenko graph652
Hall graph653
$J(12,2)$662
$\mathrm{K}(12,2)$662
Doro graph683
$J(8,4)$704
Doubled Odd graph $D(O_4)$707
Suetake graph724
Paley graph $P_{73}$732
$\mathrm{M}_{22}$ graph772
$J(13,2)$782
$\mathrm{K}(13,2)$782
Incidence graph of $GQ(3,3)$804
Incidence graph of $PG(3,3)$803
Brouwer–Haemers graph $\cong \mathrm{VO}_4^-(3)$ graph812
$H(2,9)$812
$H(4,3)$814
Paley graph $P_{81}$812
Peisert graph on 81 vertices812
$\mathrm{VNO}_4^-(3)$ graph812
$\mathrm{VO}_4^+(3)$ graph $\cong$ Bilinear forms graph $\mathrm{H}_3(2,2)$812
$J(9,3)$843
Point graph of $GQ(4,4)$852
Symplectic 5-cover of $K_{17}$853
Paley graph $P_{89}$892
Foster graph908
$J(14,2)$912
$\mathrm{K}(14,2)$912
Paley graph $P_{97}$972
Incidence graph of $AG(2,7)$ minus a parallel class984
$H(2,10)$1002
Higman-Sims graph1002
Hall-Janko graph1002
Cocliques in Hoffman-Singleton graph1004
Doubled Hoffman-Singleton graph1005
Jørgensen–Klin graph1002

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Last updated: 26 March 2025