Distance-regular graphs of valency 8

No. of verticesGraphIntersection Array
15$J(6,2)$$\{8,3;1,4\}$
17Paley graph $P_{17}$$\{8,4;1,4\}$
18$K_{9,9}-I$$\{8,7,1;1,7,8\}$
25$H(2,5)$$\{8,4;1,2\}$
27$GQ(2,4)$ minus spread$\{8,6,1;1,3,8\}$
30Incidence graph of complement of $PG(3,2)$$\{8,7,4;1,4,8\}$
30Incidence graphs of $(15,8,4)$-designs$\{8,7,4;1,4,8\}$
32Hadamard graph on 32 vertices$\{8,7,4,1;1,4,7,8\}$
63Symplectic 7-cover of $K_9$$\{8,6,1;1,1,8\}$
64Incidence graph of $\mathrm{STD}_2[8;4]$$\{8,7,6,1;1,2,7,8\}$
81$H(4,3)$$\{8,6,4,2;1,2,3,4\}$
105Flag graph of $PG(2,4)$$\{8,4,4;1,1,2\}$
114Incidence graph of $PG(2,7)$$\{8,7,7;1,1,8\}$
128Folded 8-cube$\{8,7,6,5;1,2,3,8\}$
2568-cube $Q_8 \cong H(8,2)$$\{8,7,6,5,4,3,2,1;1,2,3,4,5,6,7,8\}$

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Last updated: 7 June 2017