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Minimum-latency beaconing schedule (MLBS) in synchronous multihop wireless networks seeks a schedule for beaconing with the shortest latency. This problem is NP-hard even when the interference radius is equal to the transmission radius. All prior works assume that the interference radius is equal to the transmission radius, and the best-known approximation ratio for MLBS under this special interference...
In wireless ad hoc networks, greedy forward routing is a localized geographic routing algorithm in which one node discards a packet if none of its neighbors is closer to the destination of the packet than itself, or otherwise forwards the packet to the neighbor closest to the destination. If all nodes have the same transmission radii, the critical transmission radius for greedy forward routing is...
Relative neighborhood graph (RNG) has been widely used in topology control and geographic routing in wireless ad hoc networks. Its maximum edge length is the minimum requirement on the maximum transmission radius by those applications of RNG. In this paper, we derive the precise asymptotic probability distribution of the maximum edge length of the RNG on a Poisson point process over a unit-area disk...
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