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2011 Second International Conference on Networking and Computing (2011)
Osaka, Japan
Nov. 30, 2011 to Dec. 2, 2011
ISBN: 978-0-7695-4569-1
pp: 30-39
ABSTRACT
A self-stabilizing algorithm, after transient faults hit the system and place it in some arbitrary global state, recovers in finite time without external (e.g., human) intervention. In this paper, we propose a distributed asynchronous silent self-stabilizing algorithm for finding a minimal k-dominating set of at most n/(k+1) processes in an arbitrary identified network of size n. We propose a transformer that allows our algorithm work under an unfair daemon (the weakest scheduling assumption). The complexity of our solution is in O(n) rounds and O(D n²) steps using O(log n + k log n) bits per process where D is the diameter of the network.
INDEX TERMS
distributed systems, self-stabilization, k-dominating sets, k-clustering
CITATION

Y. Rivierre, S. Devismes, K. Heurtefeux, L. L. Larmore and A. K. Datta, "Self-Stabilizing Small k-Dominating Sets," 2011 Second International Conference on Networking and Computing(ICNC), Osaka, Japan, 2011, pp. 30-39.
doi:10.1109/ICNC.2011.15
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