## $\text{Distance-3 graph of Heawood graph }$

$\cong \text{Incidence graph of biplane on 7 points}$

Number of vertices: | $14$ |

Diameter: | $3$ |

Intersection array: | $\{4,3,2; 1,2,4\}$ |

Spectrum: | $4^1 (\sqrt{2})^6 (-\sqrt{2})^6 (-4)^1$ |

Automorphism group: | $PGL(2,7)$ |

Distance-transitive: | $\text{Yes}$ |

Bipartite |

*Last updated: 19 February 2017 *