Planar Realization
The realization problem for Euclidean minimum spanning trees is stated as follows: Given a tree T = (V, E), find a location D(u) for each vertex u ∈ V so that T is a minimum spanning tree of D(u): u ∈ V, or determine that no such locations exist. Testing of the existence of a realization in the plane is NP-hard.
Read more about this topic: Euclidean Minimum Spanning Tree
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“Probably nothing in the experience of the rank and file of workers causes more bitterness and envy than the realization which comes sooner or later to many of them that they are stuck and can go no further.”
—Mary Barnett Gilson (1877?)
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