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There exists a defect that the energy of some nodes rapidly expires because the degrees of nodes differ significantly, and the delay time is not considered. Based on the above analysis, a new algorithm called DADAT (a Degree-based Adaptive algorithm for Data Aggregation Tree) is proposed. The energy consumption and the delay time are both considered, and a weight model to construct a minimum spanning tree is established. Furthermore, the node degree on the tree is readjusted according to the average degree of the network, and nodes are labeled by red, yellow, and green colors according to their remaining energy; the child nodes of the red nodes are adaptively transferred to their neighbor nodes which are labeled as green. Finally, we discuss the weight and the update rounds' impact on the network lifetime. 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