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Random models of scale-free networks

Xianmin Geng and Qiang Li

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 2, 554-562

Abstract: In this paper, we study two models of network evolution and give more realistic descriptions of the local processes than Barabási–Albert model, incorporating the addition of new nodes, the addition of new links, the rewiring and deleting of links. To random networks model with single (or double) preferential attachment(s), we have proved that the two models are of scale-free networks if the parameters are chosen properly and got the scaling exponent γ by the continuum theory.

Keywords: Scale-free networks; Barabási–Albert model; Scaling exponent (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:2:p:554-562

DOI: 10.1016/j.physa.2005.01.060

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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