### Abstract

We study a problem of data packet transport in scale-free networks whose degree distribution follows a power law with the exponent γ. Load, or "betweenness centrality," of a vertex is the accumulated total number of data packets passing through that vertex when every pair of vertices sends and receives a data packet along the shortest path connecting the pair. It is found that the load distribution follows a power law with the exponent δ ≈ 2.2(1), insensitive to different values of γ in the range, 2 < γ ≤ 3, and different mean degrees, which is valid for both undirected and directed cases. Thus, we conjecture that the load exponent is a universal quantity to characterize scale-free networks.

Original language | English |
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Title of host publication | The Structure and Dynamics of Networks |

Publisher | Princeton University Press |

Pages | 368-371 |

Number of pages | 4 |

ISBN (Print) | 9781400841356, 0691113572, 9780691113579 |

Publication status | Published - 2011 Oct 23 |

Externally published | Yes |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

*The Structure and Dynamics of Networks*(pp. 368-371). Princeton University Press.