This graph is the complement of the Johnson graph $\mathrm{J}(10,2)$.
Number of vertices: | $45$ |
Diameter: | $2$ |
Intersection array: | $\{28,12;1,21\}$ |
Spectrum: | $28^1 1^{35} (-7)^9$ |
Automorphism group: | $\mathrm{S}_{10}$ |
Distance-transitive: | Yes |
Primitive |