## Adjacency matrix[Too large to display] |
## Adjacency list[Too large to display] |

45690

n/a

Kolja Knauer

Invariant | Value | Invariant | Value |
---|---|---|---|

Acyclic | No | Index | 6 |

Algebraic Connectivity | 1.836 | Laplacian Largest Eigenvalue | 10.391 |

Average Degree | 6 | Longest Induced Cycle | Computation time out |

Bipartite | No | Longest Induced Path | Computation time out |

Chromatic Index | Computation time out | Matching Number | 42 |

Chromatic Number | Computation time out | Maximum Degree | 6 |

Circumference | 84 | Minimum Degree | 6 |

Claw-Free | No | Minimum Dominating Set | Computation time out |

Clique Number | 2 | Number of Components | 1 |

Connected | Yes | Number of Edges | 252 |

Density | 0.072 | Number of Triangles | 0 |

Diameter | 4 | Number of Vertices | 84 |

Edge Connectivity | Computation time out | Planar | Computation time out |

Eulerian | Yes | Radius | 4 |

Genus | Computation time out | Regular | Yes |

Girth | 4 | Second Largest Eigenvalue | 4.164 |

Hamiltonian | Computation time out | Smallest Eigenvalue | -4.391 |

Independence Number | Computation time out | Vertex Connectivity | Computation time out |

A table row rendered like this
indicates that the graph is marked as being *interesting* for that invariant.

Posted by Kolja Knauer at Sep 5, 2021 3:01 PM.

A small prime minimal Cayley graph of chromatic number 4. It is a Cayley graph of (Z7 ⋊ Z4) ⋊ Z3 wrt one generators of order 4 and two of order 7.

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