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Conference Papers Year : 2016

Modeling the dynamic of networks with heterogenous social capital allocation

Abstract

The structure and dynamic of social network are largely determined by the heterogeneous interaction activity and social capital allocation of individuals. These features interplay in a non-trivial way in the formation of network and challenge a rigorous dynamical system theory of network evolution. Here we study seven real networks describing temporal human interactions in three different settings: scientific collaborations, Twitter mentions, and mobile phone calls. We find that the node's activity and social capital allocation can be described by two general functional forms that can be used to define a simple stochastic model for social network dynamic. This model allows the explicit asymptotic solution of the Master Equation describing the system dynamic, and provides the scaling laws characterizing the time evolution of the social network degree distribution and individual node's ego network. The analytical predictions reproduce with accuracy the empirical observations validating the theoretical approach. Our results provide a rigorous dynamical system framework that can be extended to include other features of networks' formation and to generate data driven predictions for the asymptotic behavior of large-scale social networks.
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Dates and versions

hal-01403328 , version 1 (25-11-2016)

Identifiers

  • HAL Id : hal-01403328 , version 1

Cite

Enrico Ubaldi, Nicola Perra, Márton Karsai, Alessandro Vezzani, Raffaella Burioni, et al.. Modeling the dynamic of networks with heterogenous social capital allocation. Sunbelt 2016 (XXXVI Sunbelt Conference of the International Network for Social Network Analysis), Apr 2016, Newport beach, United States. ⟨hal-01403328⟩
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