$\text{Coset graph of shortened ternary Golay code}$

This is an antipodal 3-cover of the Brouwer–Haemers graph, and an induced subgraph of Soicher's second graph.

Number of vertices:$243$
Diameter:$4$
Intersection array:$\{20,18,4,1;1,2,18,20\}$
Spectrum:$20^1 5^{72} 2^{60} (-4)^{90} (-7)^{20}$
Automorphism group:$3^5:(2\times M_{10})$
Distance-transitive:$\text{Yes}$
Antipodal




$\text{Downloads}$

References

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Last updated: 29 August 2019