Finite differences in a small world

Higham, D.J.; Griffiths, D.F. and Watson, G.A., eds. (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.

ORCID iDs

Higham, D.J. ORCID logoORCID: https://orcid.org/0000-0002-6635-3461; Griffiths, D.F. and Watson, G.A.
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