@article{Hou2010ACO,
title={A characterization of ($\gamma$t, $\gamma$2)-trees},
author={Xinmin Hou and Ning Li and You Lu and Junming Xu},
journal={Discuss. Math. Graph Theory},
year={2010},
volume={30},
pages={425-435}
}

Let t(G) and 2(G) be the total domination number and the 2domination number of a graph G, respectively. It has been shown that: t(T ) 2(T ) for any tree T . In this paper, we provide a constructive characterization of those trees with equal total domination number and 2-domination number.

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