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Models for evolving networks : with applications in telecommunication and online activities

Grindrod, Peter and Higham, Desmond J. (2012) Models for evolving networks : with applications in telecommunication and online activities. IMA Journal of Management Mathematics, 23 (1). pp. 1-15. ISSN 1471-678X

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Abstract

Driven by a range of modern applications that includes telecommunications, e-business and online social interaction, recent ideas in complex networks can be extended to the case of time-varying connectivity. Here, we propose a general framework for modelling and simulating such dynamic networks, and we explain how the long-time behaviour may reveal important information about the mechanisms underlying the evolution.