A Taylor graph is a distance-regular graph with intersection array . A Taylor graph with these parameters has vertices.
The crown graphs are Taylor graphs with intersection arrays .
A number of other Taylor graphs are summarized below and illustrated above.
graph | intersection array | |
6 | cycle graph | |
8 | cubical graph | |
12 | icosahedral graph | |
20 | 6-tetrahedral Johnson graph | |
28 | locally 13-Paley graph | |
32 | 6-halved cube graph | |
28 | locally 17-Paley graph | |
32 | locally Kneser graph | |
56 | Gosset graph | |
56 | distance-2 graph of Gosset graph | |
352 | graph from Higman-Sims group 1 | |
352 | graph from Higman-Sims group 2 | |
552 | graph from Conway group 1 | |
552 | graph from Conway group 2 |