Doubled Odd graph D(O_7) | DistanceRegular.org

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Doubled Odd graph $D(O_7)$

This graph is the bipartite double of the odd graph $O_7$ .

Number of vertices:	$3432$
Diameter:	$13$
Intersection array:	$\{7,6,6,5,5,4,4,3,3,2,2,1,1;1,1,2,2,3,3,4,4,5,5,6,6,7\}$
Spectrum:	$7^1 6^{12} 5^{65} 4^{208} 3^{429} 2^{572} 1^{429} (-1)^{429} (-2)^{572} (-3)^{429} (-4)^{208} (-5)^{65} (-6)^{12} (-7)^1$
Automorphism group:	$\mathrm{S}_{13} \times \mathbb{Z}_2$
Distance-transitive:	Yes
Bipartite, Antipodal

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Last updated: 9 August 2024