$\text{Cocliques in Hoffman-Singleton}$

The vertices of this graph are the 100 cocliques of size 15 in the Hoffman-Singleton graph, two cocliques being adjacent when they have 8 points in common.

Number of vertices:$100$
Intersection array:$\{15,14,10,3;1,5,12,15\}$
Spectrum:$15^1 5^{21} 0^{56} (-5)^{21} (-15)^{21}$
Automorphism group:$P \Sigma U(3,5^2)$



Back to: A-Z indexGraphs with 51 to 100 verticesGraphs with diameter 4
Last updated: 19 January 2017