Computing in Social Networks
This paper defines the problem of Scalable Secure Computing in a Social network: we call it the S-3 problem. In short, nodes, directly reflecting on associated users, need to compute a function f : V -> U of their inputs in a set of constant size, in a scalable and secure way. Scalability means that the message and computational complexity of the distributed computation is at most O(root n . polylog n). Security encompasses (1) accuracy and (2) privacy: accuracy holds when the distance from the output to the ideal result is negligible with respect to the maximum distance between any two possible results; privacy is characterized by how the information disclosed by the computation helps faulty nodes infer inputs of non-faulty nodes.
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Giurgiu, A., Guerraoui, R., Huguenin, K., & Kermarrec, A.-M. (2010). Computing in Social Networks. Stabilization, Safety, and Security of Distributed Systems, Lecture Notes in Computer Science; 6366, 332–346. https://doi.org/10.1007/978-3-642-16023-3_28
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