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

Grindrod, P. and Higham, D. J. (2012) Models for evolving networks: with applications in telecommunication and online activities. IMA Journal of Management Mathematics, 23 (1). pp. 1-15. ISSN 1471-6798 doi: 10.1093/imaman/dpr001

Abstract/Summary

Driven by a range of modern applications that includes telecommunications, e-business and on-line social interaction, recent ideas in complex networks can be extended to the case of time-varying connectivity. Here we propose a general frame- work 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.