A Self-stabilizing Approximation for the Minimum Connected Dominating Set with Safe Convergence
OPODIS '08 Proceedings of the 12th International Conference on Principles of Distributed Systems
ICACT'09 Proceedings of the 11th international conference on Advanced Communication Technology - Volume 1
Journal of Parallel and Distributed Computing
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EuroPar'10 Proceedings of the 16th international Euro-Par conference on Parallel processing: Part I
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A connected dominating set of a graph G is a set of nodes of G such that every node in G is either in the set or is adjacent to some node in the set, and the graph induced by the elements of the set is connected. Connected dominating sets have major applications in routing in wireless ad-hoc networks. In this paper, we present a distributed self-stabilizing algorithm for finding a connected dominating set of a graph. Starting from an arbitrary initial state, the algorithm finds a connected dominating set in O(N^2) time, where N is the number of nodes. We also show detailed simulation results to indicate that in practice, the algorithm finds small-sized connected dominating sets in a short time.