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# Table 1 Notation

Basic network notation | Network heterogeneity notation | ||
---|---|---|---|

n | Number of nodes | G_{qs} | Quasi-star graph |

m | Number of edges | G^{∗} | Perfect quasi-star graph |

d | Network density | v | Degree variance |

\(\mathcal {V}\) | Node set | \(\bar {v}\) | Normalised degree variance |

\(\mathcal {E}\) | Edge set | J | Quasi-star normalisation of |

G | Graph | degree variance | |

k_{i} | Degree of node i | σ^{2} | Average degree normalisation of |

k | Degree set | degree variance | |

\(\hat {G}\) | Complement of G | ρ | Heterogeneity index |

\(\hat {m}\) | Number of edges in \(\hat {G}\) | r | Number of dominant nodes in |

\(\hat {k}_{i}\) | Degree of node i in \(\hat {G}\) | quasi-star graph | |

p | Edge probability in | ||

random graph |