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In the OFDMA-based cellular relay networks, relay selection and resource allocation are the main problem to be solved. Many present works about resource allocation are for the goal of throughput maximization. In this paper, we propose an adaptive resources allocation algorithm joint relay selection, sub-carrier assignment and power allocation for the goal of energy saving to ensure users' QoS, and the relay scenario is DF, TDD and two-hop single-relay. Simulation results show that the proposed algorithm consumes less energy to transmit the same bits than the greedy energy saving scheme though its spectrum efficiency is worse.