A Concentric Multi-ring Overlay for Highly Reliable P2P Networks

The paper presents a concentric multi-ring overlay networking topology for fast and shortest-path resource discovery in dynamic distributed systems like P2P network. First, we define a highly reliable P2P system called HiPeer, which is deployed on top of the logical overlay with a number of lowest bounds in terms of network performance. Then, we demonstrate that for any De Bruijn digraph of degree dges2 and diameter D_DB, HiPeer constructs a highly reliable network, where each node maintains a routing table with a size of at most 2d+3 entries independent of the number N of nodes in the system. Further, we show that for any network with at most d nodes, any existing resource in the network can be found within at most D_HiPeer=log_d(N(d-1)+d)-1 hops. This result is as close to the Moore bound as the query path length in the other best P2P proposals based on the De Bruijn digraphs. Thus, HiPeer defines a highly connected network with connectivity d and the lowest yet known lookup bound D_HiPeer. Moreover, we show that any node\´s "join or leave" operation in HiPeer implies a constant expected reorganization cost of the magnitude order of O(d) control messages