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      Social network analysis: An overview

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          Fast unfolding of communities in large networks

          Journal of Statistical Mechanics: Theory and Experiment, 2008(10), P10008
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            Collective dynamics of 'small-world' networks.

            Networks of coupled dynamical systems have been used to model biological oscillators, Josephson junction arrays, excitable media, neural networks, spatial games, genetic control networks and many other self-organizing systems. Ordinarily, the connection topology is assumed to be either completely regular or completely random. But many biological, technological and social networks lie somewhere between these two extremes. Here we explore simple models of networks that can be tuned through this middle ground: regular networks 'rewired' to introduce increasing amounts of disorder. We find that these systems can be highly clustered, like regular lattices, yet have small characteristic path lengths, like random graphs. We call them 'small-world' networks, by analogy with the small-world phenomenon (popularly known as six degrees of separation. The neural network of the worm Caenorhabditis elegans, the power grid of the western United States, and the collaboration graph of film actors are shown to be small-world networks. Models of dynamical systems with small-world coupling display enhanced signal-propagation speed, computational power, and synchronizability. In particular, infectious diseases spread more easily in small-world networks than in regular lattices.
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              The Strength of Weak Ties

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                Author and article information

                Contributors
                Journal
                WIREs Data Mining and Knowledge Discovery
                WIREs Data Mining Knowl Discov
                Wiley
                1942-4787
                1942-4795
                September 2018
                April 17 2018
                September 2018
                : 8
                : 5
                Affiliations
                [1 ]INESC TEC, Rua Dr. Roberto FriasPortoPortugal
                [2 ]University of PortoPortoPortugal
                [3 ]Federal University of Uberlandia, UberlandiaBrazil
                Article
                10.1002/widm.1256
                bcabc1e5-7640-43c3-bc20-4abd1c6f84ed
                © 2018

                http://onlinelibrary.wiley.com/termsAndConditions#vor

                http://doi.wiley.com/10.1002/tdm_license_1.1

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