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We introduce and study (1+ε)-EMST drawings, i.e., planar straight-line drawings of trees such that, for any fixed ε>0, the distance between any two vertices is at least 11+ε the length of the longest edge in the path connecting them. (1+ε)-EMST drawings are good approximations of Euclidean minimum spanning trees. While it is known that only trees with bounded degree have a Euclidean minimum spanning...
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