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:	$3^1 \left(\frac{1+\sqrt{17}}{2}\right)^9 2^{18} (\theta_1)^{16} 0^{17} (\theta_2)^{16} \left(\frac{1-\sqrt{17}}{2}\right)^9 (\theta_3)^{16}$
	$\theta_1, \theta_2$, and $\theta_3$ are the roots of $\theta^3+3\theta^2-3=0$, which have approximate values $0.879, -1.347$, and $-2.532.$
Automorphism group:	$\mathrm{PSL}(2,17)$
Distance-transitive:	Yes
Primitive

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