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A k-dominating set is a subset of nodes such that each node not in the set can be reached within k hops from at least one node in the set. A connected k-dominating set can be used to disseminate topology update packets or route request packets, in which the search space is reduced to the set. In mobile ad hoc networks, a connected k-dominating set may become disconnected due to node mobility or switch-off, necessitating the reformation of the k-dominating set. In this paper, we discuss a couple of sufficient conditions for the connectivity of a k-dominating set. Each condition can be verified in a distributed manner by a node that keeps only 2-hop neighborhood information. With the help of these conditions, we propose a distributed algorithm able to efficiently maintain a connected k-dominating set in mobile ad hoc networks. Simulations show that our connected k-dominating set is stable and needs little maintenance overhead in the Random-Walk Mobility and Gauss-Markov Mobility Models.
Algorithm/Protocol Design and Analysis, mobile ad hoc network, Network topology, localized communication, routing protocols.

C. Lin, H. Yang and M. Tsai, "Distributed Algorithm for Efficient Construction and Maintenance of Connected k-Hop Dominating Sets in Mobile Ad Hoc Networks," in IEEE Transactions on Mobile Computing, vol. 7, no. , pp. 444-457, 2007.
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