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Releasing the result size of conjunctive queries and graph pattern queriesunder differential privacy (DP) has received considerable attention in theliterature, but existing solutions do not offer any optimality guarantees. Weprovide the first DP mechanism for this problem with a fairly strong notion ofoptimality, which can be considered as a natural relaxation ofinstance-optimality to a constant.

A Nearly Instance-optimal Differentially Private Mechanism for Conjunctive Queries