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Recently, considerable research efforts have been devoted to Delay/disruption Tolerant Network (DTN) in order to enable communications between disconnected network entities. In this paper, we focus on power management for DTN, and propose two asynchronous clock based power saving protocols with distributed adaptive sleep scheduling protocols. The proposed protocols allow different levels of power saving and are robust to long delayed and intermittent network dynamics of DTN. Analytical and simulation results are given to demonstrate the energy efficiency and scalability of the proposed protocols. In addition, we show how the proposed protocols can be applied to the mobile devices for adapting to dynamic network conditions of DTN in order to maximize energy efficiency.