The BA model with finite-precision preferential attachment

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

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 14, 2806-2814

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.

Keywords: The BA model; Finite-precision preferential attachment; Scale-free; Exponential scaling; Epidemic dynamics; Immunization (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:14:p:2806-2814

DOI: 10.1016/j.physa.2009.03.033

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