On Zone-Balancing of Structured Peer-to-Peer Networks: Analysis of Random Node Join

Balancing structured peer-to-peer graphs, including zone-size distributions, has recently become an important topic of DHT research [1], [2], [6], [20], [32], [38]. To bring analytical understanding into the various peer-join mechanisms, we study how zone-balancing decisions made during the initial sampling of the peer space affect the resulting zone sizes and derive several asymptotic bounds for the maximum and minimum zone sizes that hold with high probability. We use simulations to verify the model and compare the performance of the various methods using the example of recently-proposed de Bruijn DHTs.