Dealing with Dead Ends

Abstract

Darknets, membership-concealing peer-to-peer networks, suffer from high message delivery delays due to insufficient routing strategies. They form topologies restricted to a subgraph of the social network of their users by limiting connections to peers with a mutual trust relationship in real life. Whereas centralized, highly successful social networking services entail a privacy loss of their users, Darknets at higher performance represent an optimal private and censorship-resistant communication substrate for social applications. Decentralized routing so far has been analyzed under the assumption that the network resembles a perfect lattice structure. Freenet, currently the only widely used Darknet, attempts to approximate this structure by embedding the social graph into a metric space. Considering the resulting distortion, the common greedy routing algorithm is adapted to account for local optima. Yet the impact of the adaptation has not been adequately analyzed. We thus suggest a model integrating inaccuracies in the embedding. In the context of this model, we show that the Freenet routing algorithm cannot achieve polylog performance. Consequently, we design NextBestOnce , a provable poylog algorithm based only on information about neighbors. Furthermore, we show that the routing length of NextBestOnce is further decreased by more than a constant factor if neighbor-of-neighbor information is included in the decision process.