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Network growth with preferential attachment and without “rich get richer” mechanism

Author

Listed:
  • A. Lachgar

    (Condensed Matter Group, Department of Physics Faculty of Science, B.P 2121, Tétouan, Morocco)

  • A. Achahbar

    (Condensed Matter Group, Department of Physics Faculty of Science, B.P 2121, Tétouan, Morocco)

Abstract

We propose a simple preferential attachment model of growing network using the complementary probability of Barabási–Albert (BA) model, i.e. Π(ki)∝1−ki∑jkj. In this network, new nodes are preferentially attached to not well connected nodes. Numerical simulations, in perfect agreement with the master equation solution, give an exponential degree distribution. This suggests that the power law degree distribution is a consequence of preferential attachment probability together with “rich get richer” phenomena. We also calculate the average degree of a target node at time t(〈ks(t)〉) and its fluctuations, to have a better view of the microscopic evolution of the network, and we also compare the results with BA model.

Suggested Citation

  • A. Lachgar & A. Achahbar, 2016. "Network growth with preferential attachment and without “rich get richer” mechanism," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(02), pages 1-8, February.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:02:n:s0129183116500200
    DOI: 10.1142/S0129183116500200
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