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Steiner trees have been extensively studied in the context of weighted graphs. The prototype is, arguably, the Steiner tree problem in graphs. Let G = (V, E) be an undirected graph with non-negative edge weights c and let S ⊆ V be a subset of vertices, called terminals. A Steiner tree is a tree in G that spans S.
Minimum degree spanning tree; Minimum k-cut; Minimum k-spanning tree; Minor testing (checking whether an input graph contains an input graph as a minor); the same holds with topological minors; Steiner tree, or Minimum spanning tree for a subset of the vertices of a graph. [2] (The minimum spanning tree for an entire graph is solvable in ...
In computational complexity theory, Karp's 21 NP-complete problems are a set of computational problems which are NP-complete.In his 1972 paper, "Reducibility Among Combinatorial Problems", [1] Richard Karp used Stephen Cook's 1971 theorem that the boolean satisfiability problem is NP-complete [2] (also called the Cook-Levin theorem) to show that there is a polynomial time many-one reduction ...
Set packing; Set splitting problem; Set TSP problem; Shakashaka; Shared risk resource group; Shikaku; Shortest common supersequence; Single-machine scheduling; Skew-symmetric graph; Slitherlink; Slope number; Smallest grammar problem; Sokoban; Star coloring; Steiner tree problem; String graph; String-to-string correction problem; Strong ...
However, for this choice of k, it is possible for k-spanning tree to include only as few edges of the original graph as are needed to connect all the terminals. Therefore, the k-minimum spanning tree must be formed by combining the optimal Steiner tree with enough of the zero-weight edges of the added trees to make the total tree size large enough.
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The single-trunk Steiner tree is a tree that consists of a single horizontal segment and some vertical segments. A minimum single-trunk Steiner tree (MSTST) may be found in O ( n log n ) time. However simply finding all its edges requires linear time .
The neighbor claimed a tree branch scratched her car and the mail carrier later complained to his supervisor. By late 2017, after some back and forth between Klein and the Postal Service, postal ...