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

44091

Möbius Tesseract Filled Avatar Graph

Sven Nilsen

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

Acyclic | No | Index | 4 |

Algebraic Connectivity | 2 | Laplacian Largest Eigenvalue | 7.236 |

Average Degree | 4 | Longest Induced Cycle | 8 |

Bipartite | No | Longest Induced Path | 7 |

Chromatic Index | 4 | Matching Number | 8 |

Chromatic Number | 3 | Maximum Degree | 4 |

Circumference | 16 | Minimum Degree | 4 |

Claw-Free | No | Minimum Dominating Set | 4 |

Clique Number | 2 | Number of Components | 1 |

Connected | Yes | Number of Edges | 32 |

Density | 0.267 | Number of Triangles | 0 |

Diameter | 3 | Number of Vertices | 16 |

Edge Connectivity | 4 | Planar | No |

Eulerian | Yes | Radius | 3 |

Genus | 2 | Regular | Yes |

Girth | 4 | Second Largest Eigenvalue | 2 |

Hamiltonian | Yes | Smallest Eigenvalue | -3.236 |

Independence Number | 6 | Vertex Connectivity | 4 |

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

Posted by Sven Nilsen at Feb 7, 2021 2:56 PM.

A filled Avatar Graph discovered by finding a Möbius tesseract solution to the Constructive Symmetry Breaking problem, see https://github.com/advancedresearch/avatar_graph/issues/56

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