A Time-Optimal Self-Stabilizing Synchronizer Using A Phase Clock
IEEE Transactions on Dependable and Secure Computing
Optimal maintenance of a spanning tree
Journal of the ACM (JACM)
Local Algorithms: Self-stabilization on Speed
SSS '09 Proceedings of the 11th International Symposium on Stabilization, Safety, and Security of Distributed Systems
O(log n)-time overlay network construction from graphs with out-degree 1
OPODIS'07 Proceedings of the 11th international conference on Principles of distributed systems
Distributed computation in dynamic networks
Proceedings of the forty-second ACM symposium on Theory of computing
Fast distributed approximation algorithms for vertex cover and set cover in anonymous networks
Proceedings of the twenty-second annual ACM symposium on Parallelism in algorithms and architectures
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming: Part II
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An efficient simulation is given to show that dynamic networks are as fast as static ones up to a constant multiplicative factor. That is, any task can be performed in a dynamic asynchronous network essentially as fast as in a static synchronous network. The simulation protocol is based on an approach in which locality is perceived as the key to fast adaptation to changes in network topology. The heart of the simulation is a technique called a dynamic synchronizer, which achieves 'local' simulation of a global 'clock' in a dynamic asynchronous network. Using this result, improved solutions to a number of well-known problems on dynamic networks are obtained. It can also be used to improve the solution to certain static network problems.