Structural transitions in scale-free networks
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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Physical Review E, Volume 67, issue 5, pp. 1-5
Abstract
Real growing networks such as the World Wide Web or personal connection based networks are characterized by a high degree of clustering, in addition to the small-world property and the absence of a characteristic scale. Appropriate modifications of the (Barabási-Albert) preferential attachment network growth capture all these aspects. We present a scaling theory to describe the behavior of the generalized models and the mean-field rate equation for clustering. This is solved for a specific case with the result C(k)∼1/k for the clustering of a node of degree k. This mean-field exponent agrees with simulations, and reproduces the clustering of many real networks.Description
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Szabo, G, Alava, M J & Kertesz, J 2003, 'Structural transitions in scale-free networks', Physical Review E, vol. 67, no. 5, 056102, pp. 1-5. https://doi.org/10.1103/PhysRevE.67.056102