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Abstract : |
We initiate a graph-theoretic study of privacy in distributed environments with mobile eavesdroppers ("bugs"). For two privacy tasks---distributed database maintenance and message transmission---a computationally unbounded adversary "plays an eavesdropping game," coordinating the movement of the bugs among the sites to learn the current memory contents. Many different adversaries are considered, motivated by differences in eavesdropping technologies. We characterize the feasibility of the two privacy tasks combinatorially, construct protocols for the feasible cases, and analyze their computational complexity. 1, |