This graph is the unique SRG(10,3,0,1). It is the complement of the Johnson graph J(5,2), and is the second subconstituent of the Clebsch graph. This graph has two distance-regular antipodal covers, namely the Desargues graph (its bipartite double) and the dodecahedron.
Number of vertices: | 10 |
Diameter: | 2 |
Intersection array: | {3,2;1,1} |
Spectrum: | 3115(−2)4 |
Automorphism group: | S5 |
Distance-transitive: | Yes |
Primitive |