DistanceRegular.org
$\text{Taylor Graphs}$
Graph
No. of vertices
$\text{Icosahedron}$
$12$
$\text{Taylor graph from }P_{13}$
$28$
$\text{Taylor graph from }J(6,2) \text{ }\cong \text{ Halved 6-cube}$
$32$
$\text{Taylor graph from }K(6,2)$
$32$
$\text{Taylor graph from }P_{17}$
$36$
$\text{Gosset graph}$
$56$
$\text{Distance-2 graph of Gosset graph}$
$56$
$\text{Taylor graphs from Higman-Sims group (2 graphs)}$
$352$
$\text{Taylor graphs from }Co_3 \text{ (2 graphs)}$
$552$
$\text{Links}$
$\text{Wolfram}$
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Last updated: 21 February 2017