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Jamming in the weighted gradient networks

Author

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  • Pan, Gui-Jun
  • Liu, Sheng-Hong
  • Li, Mei

Abstract

We introduce a weighted gradient network on the unweighted substrate networks. The edge weight wij is defined as the power-law function of the scalar difference |hj−hi| between the two connected nodes i and j, i.e., wij∼|hj−hi|α. The jamming factor J of the whole network is defined as the average of the jamming degrees of all nodes. The jamming properties are studied for the substrate of random and scale-free networks. We find a crossover phenomenon in two networks. For α>αc (αc denotes a critical parameter, estimated to be about 1.5 for the random network and about 2.0 for the scale-free network), the value of J increases with increasing average connectivity 〈k〉 of the network, while for α<αc, the reverse occurs. In addition, the jamming effects of the two networks are compared, and we give the range of values of α and 〈k〉 that the scale-free networks have a higher level of congestion than the random networks.

Suggested Citation

  • Pan, Gui-Jun & Liu, Sheng-Hong & Li, Mei, 2011. "Jamming in the weighted gradient networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(18), pages 3178-3182.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:18:p:3178-3182
    DOI: 10.1016/j.physa.2011.03.018
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    Cited by:

    1. Alexei A. Gaivoronski & Per Jonny Nesse & Olai Bendik Erdal, 2017. "Internet service provision and content services: paid peering and competition between internet providers," Netnomics, Springer, vol. 18(1), pages 43-79, May.
    2. N. Lakouari & K. Jetto & H. Ez-Zahraouy & A. Benyoussef, 2014. "Velocity Correlations In The Nagel–Schreckenberg Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(02), pages 1-11.
    3. Sima Sobhi-Givi & Azadeh Khazali & Hashem Kalbkhani & Mahrokh G. Shayesteh & Vahid Solouk, 2018. "Joint mode selection and resource allocation in D2D communication based underlaying cellular networks," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 67(1), pages 47-62, January.

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