%0 Journal Article %1 Szabo2003Structural %A Szabó, Gábor %A Alava, Mikko %A Kertész, János %D 2003 %I American Physical Society %J Physical Review E %K scaling clustering scale-free-networks %P 056102+ %R 10.1103/physreve.67.056102 %T Structural transitions in scale-free networks %U http://dx.doi.org/10.1103/physreve.67.056102 %V 67 %X 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.

@article{Szabo2003Structural, 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 (Barab\'{a}si-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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Szab\'{o}, G\'{a}bor and Alava, Mikko and Kert\'{e}sz, J\'{a}nos}, biburl = {https://www.bibsonomy.org/bibtex/2d93dd2bf0813698ae3ffe12b7a95112c/nonancourt}, citeulike-article-id = {10425179}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.67.056102}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v67/i5/e056102}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v67/i5/e056102}, doi = {10.1103/physreve.67.056102}, interhash = {075e5a1a45a1d0311e59b36a6c3af72e}, intrahash = {d93dd2bf0813698ae3ffe12b7a95112c}, journal = {Physical Review E}, keywords = {scaling clustering scale-free-networks}, month = may, pages = {056102+}, posted-at = {2012-03-07 14:42:26}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:13:16.000+0200}, title = {{Structural transitions in scale-free networks}}, url = {http://dx.doi.org/10.1103/physreve.67.056102}, volume = 67, year = 2003 }