Mean-field theory for scale-free random networks Export

@misc{citeulike:155585, abstract = {Random networks with complex topology are common in Nature, describing systems as diverse as the world wide web or social and business networks. Recently, it has been demonstrated that most large networks for which topological information is available display scale-free features. Here we study the scaling properties of the recently introduced scale-free model, that can account for the observed power-law distribution of the connectivities. We develop a mean-field method to predict the growth dynamics of the individual vertices, and use this to calculate analytically the connectivity distribution and the scaling exponents. The mean-field method can be used to address the properties of two variants of the scale-free model, that do not display power-law scaling.}, archivePrefix = {arXiv}, author = {Barab\'{a}si, Albert-Laszlo and Albert, Reka and Jeong, Hawoong}, citeulike-article-id = {155585}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/9907068}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/9907068}, day = {5}, eprint = {cond-mat/9907068}, keywords = {albert, barabasi, meanfield, networks, scalefree}, month = {July}, posted-at = {2009-09-20 16:27:33}, priority = {2}, title = {Mean-field theory for scale-free random networks}, url = {http://arxiv.org/abs/cond-mat/9907068}, year = {1999} }

TY - ELEC ID - citeulike:155585 L3 - citeulike-article-id:155585 N2 - Random networks with complex topology are common in Nature, describing systems as diverse as the world wide web or social and business networks. Recently, it has been demonstrated that most large networks for which topological information is available display scale-free features. Here we study the scaling properties of the recently introduced scale-free model, that can account for the observed power-law distribution of the connectivities. We develop a mean-field method to predict the growth dynamics of the individual vertices, and use this to calculate analytically the connectivity distribution and the scaling exponents. The mean-field method can be used to address the properties of two variants of the scale-free model, that do not display power-law scaling. TI - Mean-field theory for scale-free random networks KW - albert KW - barabasi KW - meanfield KW - networks KW - scalefree AU - Barabási, Albert-Laszlo AU - Albert, Reka AU - Jeong, Hawoong PY - 1999/07/05/ UR - http://arxiv.org/abs/cond-mat/9907068 ER -