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

45688

n/a

Kolja Knauer

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

Acyclic | No | Index | 6 |

Algebraic Connectivity | 1.809 | Laplacian Largest Eigenvalue | 10.509 |

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

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

Chromatic Index | Computation time out | Matching Number | 36 |

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

Circumference | 72 | Minimum Degree | 6 |

Claw-Free | No | Minimum Dominating Set | 12 |

Clique Number | 3 | Number of Components | 1 |

Connected | Yes | Number of Edges | 216 |

Density | 0.085 | Number of Triangles | 24 |

Diameter | 4 | Number of Vertices | 72 |

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

Eulerian | Yes | Radius | 4 |

Genus | Computation time out | Regular | Yes |

Girth | 3 | Second Largest Eigenvalue | 4.191 |

Hamiltonian | Yes | Smallest Eigenvalue | -4.509 |

Independence Number | 24 | 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 2:59 PM.

A small prime minimal Cayley graph of chromatic number 4. It is a Cayley graph of (Z3 X Z3) ⋊ Q8, where Q is the Quaternion group wrt one generator of order 3 and two of order 4.

You need to be logged in to be able to add comments.