These are the incidence graphs of the complementary designs of the biplanes on 16 points, and thus the distance-3 graphs of their incidence graphs. The first graph in each file is the unique distance-transitive example, namely the distance-3 graph of the folded 6-cube.
Number of vertices: | $32$ |
Diameter: | $3$ |
Intersection array: | $\{10,9,4;1,6,10\}$ |
Spectrum: | $10^1 4^{15} (-4)^{15} (-10)^1$ |
Distance-transitive: | 1 of 3 |
Bipartite |