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Zero-Knowledge-Private Counting of Group Triangles in Social Networks

We introduce a general notion of maturity in social networks that is based on the number of triangles between groups/communities. In order to protect individual privacy upon possible release of such information, we propose privacy mechanisms using zero-knowledge privacy (ZKP), a recently proposed privacy scheme that provides stronger protection than differential privacy (DP) for socialgraph data. We present techniques to compute the parameters required to design ZKP methods and finally evaluate the practicality of the proposed methods.