From: HyGen: generating random graphs with hyperbolic communities

Symbol | Meaning |
---|---|

p | Center of the hyperbola in the hyperbolic model |

p
_{
R}
| Center of the hyperbola in the graphon hyperbolic model |

θ
| Boundary of the hyperbola in the hyperbolic model |

θ
_{
R}
| Boundary of the hyperbola in the graphon hyperbolic model |

γ
| Size of the core in the fixed model |

H | Thickness of the tail in the fixed model |

γ
_{
R}
| Relative size of the core in the graphon fixed model |

H
_{
R}
| Relative thickness of the tail in the graphon fixed model |

d
_{in}
| Density of edges inside the community |

d
_{out}
| Density of the edges outside the community |

\(\mathbb {N}\) | Set of natural numbers {0,1,2,…} |