Local preferential attachment model for hierarchical networks

Li-Na Wang, Jin-Li Guo, Han-Xin Yang and Tao Zhou

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 8, 1713-1720

Abstract: In real-life networks, incomers may only connect to a few others in a local area for their limited information, and individuals in a local area are likely to have close relations. Accordingly, we propose a local preferential attachment model. Here, a local-area-network stands for a node and all its neighbors, and the new nodes perform nonlinear preferential attachment, π(ki)∝kiα, in local areas. The stable degree distribution and clustering-degree correlations are analytically obtained. With the increasing of α, the clustering coefficient increases, while assortativity decreases from positive to negative. In addition, by adjusting the parameter α, the model can generate different kinds of degree distribution, from exponential to power-law. The hierarchical organization, independent of α, is the most significant character of this model.

Keywords: Complex network; Local preferential attachment; Degree distribution; Clustering-degree correlations; Hierarchical networks (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:8:p:1713-1720

DOI: 10.1016/j.physa.2008.12.028

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