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Local knowledge routing schemes based on virtual coordinates taken from the hyperbolic plane have attracted considerable interest in recent years. In this paper, the authors propose a new approach for seizing the power of the hyperbolic geometry. They aim at building a scalable and reliable system for creating and managing overlay networks over the Internet. The system is implemented as a peer-to-peer infrastructure based on the transport layer connections between the peers. Through analysis, they show the limitations of the Poincare disk model for providing virtual coordinates.
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