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Information super-diffusion on structured networks

Author

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  • Tadić, Bosiljka
  • Thurner, Stefan

Abstract

We study diffusion of information packets on several classes of structured networks. Packets diffuse from a randomly chosen node to a specified destination in the network. As local transport rules we consider random diffusion and an improved local search method. Numerical simulations are performed in the regime of stationary workloads away from the jamming transition. We find that graph topology determines the properties of diffusion in a universal way, which is reflected by power laws in the transit time and velocity distributions of packets. With the use of multifractal scaling analysis and arguments of non-extensive statistics we find evidence that these power-laws are compatible with super-diffusive traffic on large networks. We are able to quantify the role of network topology on overall transport efficiency. Further, we demonstrate the implications of improved transport rules and discuss the importance of matching (global) topology with (local) transport rules for the optimal function of networks. The presented model should be applicable to a wide range of phenomena ranging from Internet traffic to protein transport along the cytoskeleton in biological cells.

Suggested Citation

  • Tadić, Bosiljka & Thurner, Stefan, 2004. "Information super-diffusion on structured networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 566-584.
    • Handle: RePEc:eee:phsmap:v:332:y:2004:i:c:p:566-584
    DOI: 10.1016/j.physa.2003.10.007
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    Citations

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    Cited by:

    1. Park, Ji Hwan & Chang, Woojin & Song, Jae Wook, 2020. "Link prediction in the Granger causality network of the global currency market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    2. Lancaster, David, 2014. "Random walks between leaves of random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 511-522.
    3. Dávid Csercsik & Sándor Imre, 2017. "Cooperation and coalitional stability in decentralized wireless networks," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 64(4), pages 571-584, April.

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