### 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 < ≤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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Pages (from-to) | 278701-278701-4 |

Journal | Physical review letters |

Volume | 87 |

Issue number | 27 |

DOIs | |

Publication status | Published - 2001 Dec 31 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*Physical review letters*,

*87*(27), 278701-278701-4. https://doi.org/10.1103/PhysRevLett.87.278701