$\text{Biggs-Smith graph}$
| Number of vertices: | $102$ |
| Diameter: | $7$ |
| Intersection array: | $\{3,2,2,2,1,1,1;1,1,1,1,1,1,3\}$ |
| Spectrum: | $3^1 \left(\frac{1+\sqrt{17}}{2}\right)^9 2^{18} (\theta_1)^{16} 0^{17} (\theta_2)^{16} \left(\frac{1-\sqrt{17}}{2}\right)^9 (\theta_3)^{16}$ |
| $\theta_1, \theta_2, \text{and }\theta_3 \text{ are the roots of }\theta^3+3\theta^2-3=0\text{, which have approximate values }0.879, -1.347, \text{ and }-2.532.$ | |
| Automorphism group: | $PSL(2,17)$ |
| Distance-transitive: | $\text{Yes}$ |
| Primitive |
$\text{Downloads}$
- $\text{Adjacency matrix}$
- $\text{Adjacency matrix in GAP format}$
- $\text{Adjacency matrix in CSV format}$
- $\text{Graph in GRAPE format}$
$\text{Links}$
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Graphs with 101-150 vertices •
Graphs with diameter 7 •
Graphs with valency 3
Last updated: 19 January 2017