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| Content Provider | Springer Nature Link |
|---|---|
| Author | Pandurangan, Gopal Robinson, Peter Trehan, Amitabh |
| Copyright Year | 2015 |
| Abstract | We present a fully-distributed self-healing algorithm dex that maintains a constant degree expander network in a dynamic setting. To the best of our knowledge, our algorithm provides the first efficient distributed construction of expanders—whose expansion properties hold deterministically—that works even under an all-powerful adaptive adversary that controls the dynamic changes to the network (the adversary has unlimited computational power and knowledge of the entire network state, can decide which nodes join and leave and at what time, and knows the past random choices made by the algorithm). Previous distributed expander constructions typically provide only probabilistic guarantees on the network expansion which rapidly degrade in a dynamic setting; in particular, the expansion properties can degrade even more rapidly under adversarial insertions and deletions. Our algorithm provides efficient maintenance and incurs a low overhead per insertion/deletion by an adaptive adversary: only $$O(\log n)$$ rounds and $$O(\log n)$$ messages are needed with high probability (n is the number of nodes currently in the network). The algorithm requires only a constant number of topology changes. Moreover, our algorithm allows for an efficient implementation and maintenance of a distributed hash table on top of dex with only a constant additional overhead. Our results are a step towards implementing efficient self-healing networks that have guaranteed properties (constant bounded degree and expansion) despite dynamic changes. |
| Starting Page | 163 |
| Ending Page | 185 |
| Page Count | 23 |
| File Format | |
| ISSN | 01782770 |
| Journal | Distributed Computing |
| Volume Number | 29 |
| Issue Number | 3 |
| e-ISSN | 14320452 |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2015-11-27 |
| Publisher Place | Berlin/Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Computer Communication Networks Computer Hardware Computer Systems Organization and Communication Networks Software Engineering/Programming and Operating Systems Theory of Computation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Theoretical Computer Science Computer Networks and Communications Computational Theory and Mathematics Hardware and Architecture |
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