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Steiner Trees

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Description: Open Problems with Steiner Trees, maintained by Joe Ganley.
Of course, there are probably about a zillion open problems related to Steiner trees, but here are a few I've thought about. allows us to construct an optimal rectilinear Steiner tree of a full set in linear time. I know of no other metric or type of graph in which computing the optimal Steiner tree of a full set is polynomial-time solvable but computing a general Steiner tree is NP-hard. Note that there isn't even a sufficiently strong analogue of Hwang's theorem for rectilinear Steiner trees in three dimensions.
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