The Forgiving Tree: A Self-Healing Distributed Data Structure

We consider the problem of self-healing in peer-to-peer networks that are under repeated attack by an omniscient adversary. We assume that the following process continues for up to n rounds where n is the total number of nodes initially in the network: the adversary deletes an arbitrary node from the network, then the network responds by quickly adding a small number of new edges. We present a distributed data structure that ensures two key properties. First, the diameter of the network is never more than O(log ) times its original diameter, where is the maximum degree of the network initially. We note that for many peer-to-peer systems, is polylogarithmic, so the diameter increase would be a O(log log n) multiplicative factor. Second, the degree of any node never increases by more than 3 over its original degree. Our data structure is fully distributed, has O(1) latency per round and requires each node to send and receive O(1) messages per round. The data structure requires an init...

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Tom Hayes, Navin Rustagi, Jared Saia, Amitabh Trehan
• Keywords: CORR 2008, Education, Node, Omniscient Adversary, Peer-to-peer Networks