This is the incidence graph of the unique symmetric transversal design $\mathrm{STD}_2[6;3]$.

Number of vertices: | $36$ |

Diameter: | $4$ |

Intersection array: | $\{6,5,4,1;1,2,5,6\}$ |

Spectrum: | $6^1 (\sqrt{6})^{12} 0^{10} (-\sqrt{6})^{12} (-6)^1$ |

Automorphism group: | $3\cdot S_6.2$ |

Distance-transitive: | Yes |

Bipartite, Antipodal |

- Adjacency matrix
- Adjacency matrix in GAP format
- Adjacency matrix in CSV format
- Graph in GRAPE format