Efficient fault tolerant topology control for three-dimensional wireless networks

Fault tolerant topology control in wireless networks has been studied recently. In order to achieve both sparseness (i.e., the number of links is linear with the number of nodes) and fault tolerance (i.e., can survive certain level of node/link failures), different geometric topologies were proposed and used as the underlying network topologies for wireless networks. However, most of the existing topology control algorithms can only be applied to 2-dimensional (2D) networks where all nodes are distributed in a 2D plane. In practice, wireless networks may be deployed in 3-dimensional (3D) space, such as under water wireless sensor networks in ocean or ad hoc networks in space. This paper seeks to investigate efficient fault tolerant topology control protocols for 3D wireless networks. Our new protocols not only guarantee the K-connectivity of the network, but also ensure the bounded node degree and constant power stretch factor. All of our proposed protocols are localized algorithms, which only use one-hop neighbor information and constant messages with small time complexity. Our simulation confirms our theoretical proofs for all proposed 3D topologies.