| M. Bahramgiri, M.T. Hajiaghayi, and V.S. Mirrokni. Fault-tolerant and 3-Dimensional Distributed Topology Control Algorithms in Wireless Multi-hop Networks. In IEEE Int. Conf. on Computer Communications and Networks (ICCCN02), pages 392--397, 2002. |
....goes to infinity. Consequently, we can conjecture that the transmission radius rn such that the graph G(V,rn ) is k connected with high probability satisfies n#r 1) 2# . We will prove this later. Topology control for wireless ad hoc networks has draw considerable attentions recently [1, 13, 14, 15, 25, 26, 32]. Topology control methods try to maintain a structure that can be used for efficient routing or improving the overall networking performance. Li et al. 14, 15, 32] had proposed to use the Yao structure [34] on the unit disk graph for topology control without sacrificing too much on the energy ....
....or improving the overall networking performance. Li et al. 14, 15, 32] had proposed to use the Yao structure [34] on the unit disk graph for topology control without sacrificing too much on the energy conservation. Yao structure does not provide fault tolerance. Recently, Bahramgiri et al. [1] proposed a fault tolerant topology control algorithm which shows how to decide the minimum transmission range of each node such that the resulted directed communication graph is k connected. However, their method does not bound the node degree. Lukovszki [16] gave a method to construct a spanner ....
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M. Bahramgiri, M.T. Hajiaghayi, and V.S. Mirrokni. Fault-tolerant and 3-Dimensional Distributed Topology Control Algorithms in Wireless Multi-hop Networks. In IEEE Int. Conf. on Computer Communications and Networks (ICCCN02), pages 392--397, 2002.
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M. Bahramgiri, M.T. Hajiaghayi, and V.S. Mirrokni. Fault-tolerant and 3-Dimensional Distributed Topology Control Algorithms in Wireless Multi-hop Networks. In IEEE Int. Conf. on Computer Communications and Networks (ICCCN02), pages 392--397, 2002.
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