The article introduces the concept of k-stars LDP as a novel framework for (p, q)-clique enumeration under local differential privacy. It addresses the limitations of traditional edge LDP algorithms by reducing estimation errors and improving data utility. The proposed algorithm utilizes k-stars neighboring lists, absolute value correction technique, and k-stars sampling technique to enhance privacy protection while counting subgraphs. The theoretical analysis and experiments demonstrate the superiority of the k-stars LDP algorithm over edge LDP algorithms in terms of privacy, unbiasedness, and utility. The experiments conducted on real datasets show better performance of k-stars LDP in sparse graphs and for different (p, q)-cliques.
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by Henan Sun,Zh... às arxiv.org 03-05-2024
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