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Scaling Properties Of An Evolving Network Model With Aging Mechanism

Author

Listed:
  • RENHUAN YANG

    (Department of Instrument Science and Engineering, Southeast University, Nanjing 210096, People's Republic of China)

  • AIGUO SONG

    (Department of Instrument Science and Engineering, Southeast University, Nanjing 210096, People's Republic of China)

Abstract

In this paper, a growing network model with aging mechanism is investigated. Each new node of the network gets attached to theith existing node with the probability$\sim k_i^\beta (t) e^{-\alpha \tau_i}$, wherekiis the degree of theith node andτiis its age at timet. β denotes attraction factor and α represents aging intensity. It is found that the network shows scaling behaviors such as scale-free and exponential distribution of degree. Moreover, the phase diagram in theβ - αplane is observed, in which there are three regions plotted by two boundaries.

Suggested Citation

  • Renhuan Yang & Aiguo Song, 2009. "Scaling Properties Of An Evolving Network Model With Aging Mechanism," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(05), pages 781-787.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:05:n:s012918310901400x
    DOI: 10.1142/S012918310901400X
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