The Steiner tree problem in graphs requires a tree of minimum weight that contains all terminals (but may include additional vertices) and minimizes the total ...
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Steiner minimal trees are difficult to find because a tree having locally minimum length need not have the absolutely minimum length. For instance, the tree of ...
Jun 6, 2023 · The Steiner Tree Problem involves finding the minimum-cost tree that spans a set of given vertices in an undirected, edge-weighted graph.
Jan 29, 2015 · Steiner's minimal tree problem is this: Find the shortest possible network interconnecting a set of points in the Euclidean plane.
It is shown that the problem of computing Steiner minimal trees for general planar point sets is inherently at least as difficult as any of the NP-complete ...
In the Steiner minimal tree problem, the vertices are divided into two parts: terminals and nonterminal vertices. The terminals are the given vertices which ...
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This shortest network must be a tree and is called a Steiner Minimal Tree (SMT). It may contain vertices different from the points which are to be connected.
A Steiner minimal tree for given points in the plane is a tree which interconnects these points using lines of shortest possible total length.
A Steiner minimal tree for given points $A_1 , \cdots ,A_n $ in the plane is a tree which interconnects these points using lines of shortest possible total ...
We will focus on the rectilinear Steiner minimal tree problem, where every edge is embedded in the plane using a path of one or more alternating horizontal and ...