Preventing Unraveling in Social Networks Gets Harder

@article{Chitnis2013PreventingUI,
  title={Preventing Unraveling in Social Networks Gets Harder},
  author={Rajesh Hemant Chitnis and Fedor V. Fomin and Petr A. Golovach},
  journal={CoRR},
  year={2013},
  volume={abs/1304.6420}
}
The behavior of users in social networks is often observed to be affected by the actions of their friends. Bhawalkar et al. (Bhawalkar et al. 2012) introduced a formal mathematical model for user engagement in social networks where each individual derives a benefit proportional to the number of its friends which are engaged. Given a threshold degree k the equilibrium for this model is a maximal subgraph whose minimum degree is ≥ k. However the dropping out of individuals with degrees less than… CONTINUE READING
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