Fast algorithms for finding nearest common ancestors
SIAM Journal on Computing
Self-stabilization
A Distributed Algorithm for Minimum-Weight Spanning Trees
ACM Transactions on Programming Languages and Systems (TOPLAS)
Self-stabilizing systems in spite of distributed control
Communications of the ACM
Introduction to Distributed Algorithms
Introduction to Distributed Algorithms
Distributed Algorithms for Reconstructing MST after Topology Change
WDAG '90 Proceedings of the 4th International Workshop on Distributed Algorithms
Self-Stabilizing Minimum Spanning Tree Construction on Message-Passing Networks
DISC '01 Proceedings of the 15th International Conference on Distributed Computing
Self-stabilizing multicast protocols for ad hoc networks
Journal of Parallel and Distributed Computing - Special issue on wireless and mobile ad hoc networking and computing
Self-stabilizing extensions for message-passing systems
Distributed Computing - Special issue: Self-stabilization
Self-Stablizing Pivot Interval Routing in General Networks
ISPAN '05 Proceedings of the 8th International Symposium on Parallel Architectures,Algorithms and Networks
A new self-stabilizing minimum spanning tree construction with loop-free property
DISC'09 Proceedings of the 23rd international conference on Distributed computing
Fast and compact self stabilizing verification, computation, and fault detection of an MST
Proceedings of the 30th annual ACM SIGACT-SIGOPS symposium on Principles of distributed computing
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We present a novel self-stabilizing algorithm for minimum spanning tree (MST) construction. The space complexity of our solution is O(log2 n) bits and it converges in O(n2) rounds. Thus, this algorithm improves the convergence time of all previously known self-stabilizing asynchronous MST algorithms by a multiplicative factor Θ(n), to the price of increasing the best known space complexity by a factor O(log n). The main ingredient used in our algorithm is the design, for the first time in self-stabilizing settings, of a labeling scheme for computing the nearest common ancestor with only O(log2 n) bits.