Distance-regular graphs from 51 to 100 vertices

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

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Last updated: 26 March 2025

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Distance-regular graphs from 51 to 100 vertices