SCALING PROPERTIES OF AN EVOLVING NETWORK MODEL WITH AGING MECHANISM

Renhuan Yang () and Aiguo Song ()
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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

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 05, 781-787

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.

Keywords: Scaling behaviors; aging network; distribution; complex network; 89.75.-k; 05.10.-a; 75.10.Nr; 05.40.Fb (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S012918310901400X

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