Scale-free networks via attaching to random neighbors

Xu-Hua Yang, Shun-Li Lou, Guang Chen, Sheng-Yong Chen and Wei Huang

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 17, 3531-3536

Abstract: Preferential attachment is considered one of the key factors in the formation of scale-free networks. However, complete random attachment without a preferential mechanism can also generate scale-free networks in nature, such as protein interaction networks in cells. This article presents a new scale-free network model that applies the following general mechanisms: (i) networks expand continuously by the addition of new vertices, and (ii) new vertices attach to random neighbors of random vertices that are already well connected. The proposed model does not require global-based preferential strategies and utilizes only the random attachment method. Theoretical analysis and numerical simulation results denote that the proposed model has steady scale-free network characteristics, and random attachment without a preferential mechanism may generate scale-free networks.

Keywords: Scale-free networks; Random neighbor; Mean-field theory (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:17:p:3531-3536

DOI: 10.1016/j.physa.2013.03.043

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