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Searching in P2P networks is fundamental to all overlay networks.  P2P networks based on Distributed Hash Tables (DHT) are optimized for singlekey lookups, whereas unstructured networks offer more complex queries at thecost of increased traffic and uncertain success rates. Our Distributed TreeConstruction (DTC) approach enables structured P2P networks to perform prefixsearch, range queries, and multicast in an optimal way. It achieves this bycreating a spanning tree over the peers in the search area, using onlyinformation available locally on each peer. Because DTC creates a spanningtree, it can query all the peers in the search area with a minimal number ofmessages. Furthermore, we show that the tree depth has the same upper bound asa regular DHT lookup which in turn guarantees fast and responsive runtimebehavior. By placing objects with a region quadtree, we can perform a prefixsearch or a range query in a freely selectable area of the DHT. Our DTCalgorithm is DHT-agnostic and works with most existing DHTs. We evaluate theperformance of DTC over several DHTs by comparing the performance to existingapplication-level multicast solutions, we show that DTC sends 30-250% fewermessages than common solutions.

Optimally Efficient Prefix Search and Multicast in Structured P2P Networks