This graph is the complement of the Johnson graph $\mathrm{J}(45,2)$.
| Number of vertices: | $990$ |
| Diameter: | $2$ |
| Intersection array: | $\{903,82;1,861\}$ |
| Spectrum: | $903^1 1^{945} (-42)^{44}$ |
| Automorphism group: | $\mathrm{S}_{45}$ |
| Distance-transitive: | Yes |
| Primitive |