A model for dynamic communicators

Mantzaris, Alexander Vassilios and Higham, Desmond J. (2012) A model for dynamic communicators. European Journal of Applied Mathematics, 23 (6). pp. 659-668. ISSN 0956-7925 (https://doi.org/10.1017/S0956792512000186)

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Abstract

We develop and test an intuitively simple dynamic network model to describe the type of time-varying connectivity structure present in many technological settings. The model assumes that nodes have an inherent hierarchy governing the emergence of new connections. This idea draws on newly established concepts in online human behaviour concerning the existence of discussion catalysts, who initiate long threads, and online leaders, who trigger feedback. We show that the model captures an important property found in e-mail and voice call data – ‘dynamic communicators’ with sufficient foresight or impact to generate effective links and having an influence that is grossly underestimated by static measures based on snaphots or aggregated data.