### Abstract

We calculate the mean neighboring degree function k̄_{nn}(k) and the mean clustering function C(k) of vertices with degree k as a function of k in finite scale-free random networks through the static model. While both are independent of k when the degree exponent γ ≥ 3, they show the crossover behavior for 2 < γ< 3 from k-independent behavior for small k to k-dependent behavior for large k. The k-dependent behavior is analytically derived. Such a behavior arises from the prevention of self-loops and multiple edges between each pair of vertices. The analytic results are confirmed by numerical simulations. We also compare our results with those obtained from a growing network model, finding that they behave differently from each other.

Original language | English |
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Pages (from-to) | 231-238 |

Number of pages | 8 |

Journal | European Physical Journal B |

Volume | 49 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2006 Jan |

Externally published | Yes |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

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## Cite this

*European Physical Journal B*,

*49*(2), 231-238. https://doi.org/10.1140/epjb/e2006-00051-y