## $\text{Cocliques in Hoffman-Singleton}$

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: $100$ Diameter: $4$ Intersection array: $\{15,14,10,3;1,5,12,15\}$ Spectrum: $15^1 5^{21} 0^{56} (-5)^{21} (-15)^{21}$ Automorphism group: $P \Sigma U(3,5^2)$ Distance-transitive: $\text{Yes}$ Bipartite

## $\text{Links}$

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