Low Energy Construction of Fault Tolerant Topologies in Wireless Networks

This paper studies asymmetric power assignments for various network topologies under the k-resilience criterion. We aim to minimize the total energy consumption, which is usually NP-Hard for a desired link topology. We develop a general approximation framework for various topology problems under the k-fault resilience criterion in the plane. We use it to obtain an O(k) approximation ratio for three k-fault tolerant topology problems: multicast, broadcast and convergecast. In addition, we consider the problem of k-fault tolerant bounded-hop broadcast. We derive an O(k) approximation factor for this problem. To the best of our knowledge, these are the first non-trivial results for these problems.