Doubled Grassmann graph $DJ_{2}(5,2)$

The halved graph is the Grassmann graph $J_{2}(5,2)$. Note that this is not the bipartite double of $J_{2}(5,2)$.

Number of vertices:$310$
Diameter:$5$
Intersection array:$\{7,6,6,4,4;1,1,3,3,7\}$
Spectrum:$7^1 (3 \sqrt{2})^{30} 2^{124} (-2)^{124} (-3 \sqrt{2})^{30} (-7)^1$
Automorphism group:$\mathrm{PSL}(5,2):2$
Distance-transitive:Yes
Bipartite




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Last updated: 7 March 2024

Acknowledgement: contributed by Finnegan Carroll and Mark MacLean.