This graph is the complement of the Johnson graph $\mathrm{J}(35,2)$.
| Number of vertices: | $595$ |
| Diameter: | $2$ |
| Intersection array: | $\{528,62;1,496\}$ |
| Spectrum: | $528^1 1^{560} (-32)^{34}$ |
| Automorphism group: | $\mathrm{S}_{35}$ |
| Distance-transitive: | Yes |
| Primitive |