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Finite differences in a small world

Higham, D.J. (2003) Finite differences in a small world. In: Proceedings of the 20th Biennial Conference on Numerical Analysis, Dundee. University of Dundee, Dundee, pp. 81-84.

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    Abstract

    Many complex networks in nature exhibit two properties that are seemingly at odds. They are clustered - neighbors of neighbors are very likely to be neighbors - and they are small worlds - any two nodes can typically be connected by a relatively short path. Watts and Strogatz [17] referred to this as the small world phenomenon and proposed a network model that was shown through simulation to capture the two properties. The model incorporates a parameter that interpolates between fully local and fully global regimes. As the parameter is varied the small world property is roused before the clustering property is lost.

    Item type: Book Section
    ID code: 223
    Keywords: small world phenomenon, clustering, numerical analysis, mathematics, Mathematics
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
    Depositing user: Ms Sarah Scott
    Date Deposited: 28 Feb 2006
    Last modified: 13 Mar 2012 17:05
    URI: http://strathprints.strath.ac.uk/id/eprint/223

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