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 |

- $\text{Adjacency matrix}$
- $\text{Adjacency matrix in GAP format}$
- $\text{Adjacency matrix in CSV format}$
- $\text{Graph in GRAPE format}$