Clebsch graph $\cong$ Folded 5-cube $\cong \mathrm{VO}_4^-(2)$ graph
This graph is the unique $\mathrm{SRG}(16,5,0,2)$. The complement of this graph is the halved 5-cube. The second subconstituent of this graph is the Petersen graph.
| Number of vertices: | $16$ |
| Diameter: | $2$ |
| Intersection array: | $\{5,4;1,2\}$ |
| Spectrum: | $5^1 1^{10} (-3)^5$ |
| Automorphism group: | $2^4:\mathrm{S}_5$ |
| Distance-transitive: | Yes |
| Primitive |
Downloads
- Adjacency matrix
- Adjacency matrix in GAP format
- Adjacency matrix in CSV format
- Graph in GRAPE format
Links
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Graphs with valency 5 •
Folded cubes •
Affine polar graphs
Last updated: 6 August 2024