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The BA model with finite-precision preferential attachment

Author

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  • Yin, Bei-Bei
  • Zhu, Ling-Zan
  • Cai, Kai-Yuan

Abstract

Preferential attachment is an indispensable ingredient of the BA model and its variants. In this paper, we modify the BA model by considering the effect of finite-precision preferential attachment, which exists in many real networks. Finite-precision preferential attachment refers to existing nodes with preferential probability Π varying within a certain interval, which is determined by the value of a given precision, being considered to have an equal chance of capturing a new link. The new model reveals a transition from exponential scaling to a power-law distribution along with the increase of the precision. Epidemic dynamics and immunization on the new network are investigated and it is found that the finite-precision effect should be considered in tasks such as infection rate prediction or immunization policy making.

Suggested Citation

  • Yin, Bei-Bei & Zhu, Ling-Zan & Cai, Kai-Yuan, 2009. "The BA model with finite-precision preferential attachment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2806-2814.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:14:p:2806-2814
    DOI: 10.1016/j.physa.2009.03.033
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