The complement of this graph is the Kneser graph $\mathrm{K}(10,2)$.
Number of vertices: | $45$ |
Diameter: | $2$ |
Intersection array: | $\{16,7;1,4\}$ |
Spectrum: | $16^1 6^9 (-2)^{35}$ |
Automorphism group: | $\mathrm{S}_{10}$ |
Distance-transitive: | Yes |
Primitive |