Title
The forgiving tree: a self-healing distributed data structure
Abstract
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 deletesan 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 Delta) times its original diameter, where Delta is the maximum degree of the network initially. We note that for many peer-to-peer systems, Delta is polylogarithmic, so the diameter increase would be a O(loglog 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 initial setup phase that has latency equal to the diameter of the original network, and requires, with high probability, each node v to send O(log n) messages along every edge incident to v. Our approach is orthogonal and complementary to traditional topology-based approaches to defending against attack.
Year
DOI
Venue
2008
10.1145/1400751.1400779
principles of distributed computing
Keywords
DocType
Volume
data structure
Conference
abs/0802.3267
ISSN
Citations 
PageRank 
PODC '08: Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing. 2008, pages 203--212
8
0.51
References 
Authors
13
4
Name
Order
Citations
PageRank
Tom Hayes180.51
Navin Rustagi2231.91
Jared Saia3101996.95
Amitabh Trehan411311.18