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Packet transport and load distribution in scale-free network models

Author

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  • Goh, K.-I.
  • Kahng, B.
  • Kim, D.

Abstract

In scale-free networks, the degree distribution follows a power law with the exponent γ. Many model networks exist which reproduce the scale-free nature of the real-world networks. In most of these models, the value of γ is continuously tunable, thus is not universal. We study a problem of data packet transport in scale-free networks and define load at each vertex as the accumulated total number of data packets passing through that vertex when every pair of vertices send and receive a data packet along the shortest paths. We find that the load distribution follows a power law with an exponent δ for scale-free networks. Moreover, the load exponent δ is insensitive to the details of the networks in the range 2<γ⩽3. For the class of networks considered in this work, δ≈2.2(1). We conjecture that the load exponent is a universal quantity to characterize and classify scale-free networks.

Suggested Citation

  • Goh, K.-I. & Kahng, B. & Kim, D., 2003. "Packet transport and load distribution in scale-free network models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(1), pages 72-79.
  • Handle: RePEc:eee:phsmap:v:318:y:2003:i:1:p:72-79
    DOI: 10.1016/S0378-4371(02)01407-3
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    Cited by:

    1. Peng, Xingzhao & Yao, Hong & Du, Jun & Wang, Zhe & Ding, Chao, 2015. "Invulnerability of scale-free network against critical node failures based on a renewed cascading failure model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 69-77.

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    Keywords

    Scale-free networks; Load distributions;

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