Line graph of Tutte's 12-cage

Number of vertices:$189$
Diameter:$6$
Intersection array:$\{4,2,2,2,2,2;1,1,1,1,1,2\}$
Spectrum:$4^1 (1+\sqrt{6})^{21} (1+\sqrt{2})^{21} 1^{28} (1-\sqrt{2})^{27} (1-\sqrt{6})^{21} (-2)^{64}$
Automorphism group:$G_{2}(2)\cong PSU(3,3):2$
Distance-transitive:No
Primitive




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Last updated: 4 February 2017