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ensl-00440266, version 1
Computer Science/Distributed, Parallel, and Cluster Computing
A Self-Stabilizing K-Clustering Algorithm Using an Arbitrary Metric (Revised Version of RR2008-31)
Eddy Caron1, Ajoy Datta2, Benjamin Depardon1, Lawrence Larmore2
1:  LIP - Laboratoire de l'Informatique du Parallélisme
2:  SCV - School of Computer Science [ Nevada - Las Vegas]
Mobile ad hoc networks as well as grid platforms are distributed, changing, and error prone environments. Communication costs within such infrastructure can be improved, or at least bounded, by using k-clustering. A k-clustering of a graph, is a partition of the nodes into disjoint sets, called clusters, in which every node is distance at most k from a designated node in its cluster, called the clusterhead. A self-stabilizing asynchronous distributed algorithm is given for constructing a k-clustering of a connected network of processes with unique IDs and weighted edges. The algorithm is comparison-based, takes O(nk) time, and uses O(log n + log k) space per process, where n is the size of the network. This is the first distributed solution to the k-clustering problem on weighted graphs.
English
K-Clustering – Self-Stabilization – Weighted Graph
32 pages
RRLIP2009-33
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RRLIP2009-33.pdf(847 KB)