James Aspnes, Zoë Diamadi, and Gauri Shah. Fault-tolerant routing in peer-to-peer systems. Twenty-First ACM Symposium on Principles of Distributed Computing, July 2002, pp. 223–232. Available as arXiv:cs.DS/0302022.

We consider the problem of designing an overlay network and routing mechanism that permits finding resources efficiently in a peer-to-peer system. We argue that many existing approaches to this problem can be modeled as the construction of a random graph embedded in a metric space whose points represent resource identifiers, where the probability of a connection between two nodes depends only on the distance between them in the metric space. We study the performance of a peer-to-peer system where nodes are embedded at grid points in a simple metric space: a one-dimensional real line. We prove upper and lower bounds on the message complexity of locating particular resources in such a system, under a variety of assumptions about failures of either nodes or the connections between them. Our lower bounds in particular show that the use of inverse power-law distributions in routing, as suggested by Kleinberg (1999), is close to optimal. We also give heuristics to efficiently maintain a network supporting efficient routing as nodes enter and leave the system. Finally, we give some experimental results that suggest promising directions for future work.

- PODC '02 proceedings version: PDF.
- Full version:
**PDF** - ArXiv version: arXiv:cs.DS/0302022.

@inproceedings(AspnesDS2002, title="Fault-tolerant routing in peer-to-peer systems", author="James Aspnes and Zo{\"e} Diamadi and Gauri Shah", booktitle="Twenty-First ACM Symposium on Principles of Distributed Computing", month=jul, year=2002, pages={223--232} )

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