DistanceRegular.org
Taylor Graphs
Graph
No. of vertices
Icosahedron
12
Johnson graph $J(6,3)$
20
Taylor graph from $P_{13}$
28
Taylor graph from $J(6,2) \cong$ Halved 6-cube
32
Taylor graph from $K(6,2)$
32
Taylor graph from $P_{17}$
36
Gosset graph
56
Distance-2 graph of Gosset graph
56
Taylor graphs from Higman-Sims group (2 graphs)
352
Taylor graphs from $Co_3$ (2 graphs)
552
Links
Wolfram
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Last updated: 6 February 2019