In this paper, we study the Maximum lifetime Target Coverage problem (MTC), which is to maximize the network lifetime while guaranteeing the complete coverage of all the targets. Many centralized algorithms have been proposed to solve this problem. A very few distributed versions have also been presented but none of them obtains a good approximation ratio. In this paper, we propose two O(log n) localized algorithms. In particular, we first reduce the MTC problem to the domatic number problem in directed graphs. This relation shows that a feasible solution to the domatic number problem is also a feasible solution to the MTC problem. We next prove the lower and upper bounds of this domatic number. Based on this proof, we present two O(log n)-localized algorithms to solve the MTC problem.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.