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Packet transport along the shortest pathways in scale-free networks

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Abstract.

We investigate a problem of data packet transport between a pair of vertices on scale-free networks without loops or with a small number of loops. By introducing load of a vertex as accumulated sum of a fraction of data packets traveling along the shortest pathways between every pair of vertices, it is found that the load distribution follows a power law with an exponent \(\delta\). It is found for the Barabási-Albert-type model that the exponent \(\delta\) changes abruptly from \(\delta = 2.0\) for tree structure to \(\delta\simeq2.2\) as the number of loops increases. The load exponent seems to be insensitive to different values of the degree exponent \(\gamma\) as long as \(2 < \gamma < 3\).

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Authors and Affiliations

  1. School of Physics, Seoul National University NS50, 151-747, Seoul, Korea

    C.-M. Ghim, E. Oh, K.-I. Goh, B. Kahng & D. Kim

Authors
  1. C.-M. Ghim
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  2. E. Oh
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  3. K.-I. Goh
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  4. B. Kahng
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  5. D. Kim
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Corresponding author

Correspondence to C.-M. Ghim.

Additional information

Received: 4 February 2004, Published online: 14 May 2004

PACS:

89.75.Fb Structures and organization in complex systems - 05.65. + b Self-organized systems - 02.10.Ox Combinatorics; graph theory

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Ghim, CM., Oh, E., Goh, KI. et al. Packet transport along the shortest pathways in scale-free networks. Eur. Phys. J. B 38, 193–199 (2004). https://doi.org/10.1140/epjb/e2004-00113-2

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