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26th IEEE International Conference on Distributed Computing Systems (ICDCS'06)
Fault-Tolerant Clustering in Ad Hoc and Sensor Networks
Lisboa, Portugal
July 04-July 07
ISBN: 0-7695-2540-7
Fabian Kuhn, Microsoft Research Silicon Valley, Mountain View, CA
Thomas Moscibroda, Network Laboratory ETH Zurich, 8092 Zurich
Roger Wattenhofer, Network Laboratory ETH Zurich, 8092 Zurich
In this paper, we study distributed approximation algorithms for fault-tolerant clustering in wireless ad hoc and sensor networks. A k-fold dominating set of a graph G = (V,E) is a subset S of V such that every node v \in V \ S has at least k neighbors in S. We study the problem in two network models. In general graphs, for arbitrary parameter t, we propose a distributed algorithm that runs in time O(t^2) and achieves an approximation ratio of O(t\delta^2/t log\delta), where n and \delta denote the number of nodes in the network and the maximal degree, respectively. When the network is modeled as a unit disk graph, we give a probabilistic algorithm that runs in time O(log log n) and achieves an O(1) approximation in expectation. Both algorithms require only small messages of size O(log n) bits.
Citation:
Fabian Kuhn, Thomas Moscibroda, Roger Wattenhofer, "Fault-Tolerant Clustering in Ad Hoc and Sensor Networks," icdcs, pp.68, 26th IEEE International Conference on Distributed Computing Systems (ICDCS'06), 2006
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