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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.

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