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E-mail is one of the most popular and widely used form of electronic communication used today. The patterns in the social interactions or contacts between people by e-mail can be analysed using social network analysis and user behaviour analysis. In this paper we provide a review of the work related to the areas of dynamic modelling and link prediction of social networks, and anomaly detection for detecting changes in the behaviour of e-mail usage. We then discuss about the benefits of applying artificial intelligence techniques to these fields.