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Abstract
Because of the widespread applications of tree and tree graph in computer science, we are interested in studying the tree graph. M. Farber, B. Richter and H. Shank in 1 showed that the graph τ2 (G) is connected. The result of this paper is: graph τ2(G) is 2-edge-connected as|V(G) ≥3, at the same time, we will show the best lower bounds about vertex number and minimum degree of graph τ2(G).
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