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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 ...
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.
The simplest routing problem, called the Steiner tree problem, of finding the shortest route for one net in one layer with no obstacles and no design rules is known to be NP-complete, both in the case where all angles are allowed or if routing is restricted to only horizontal and vertical wires. [1]
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 .
Tree Packing - As you may know, the Ashland SWCD does an annual tree sale of young seedlings. The tree orders are prepared and packed at local FFA shops (this year will be at Hillsdale FFA during ...
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Ding-Zhu Du (born May 21, 1948) is a Professor in the Department of Computer Science at The University of Texas at Dallas. [1] He is known for his research on the Euclidean minimum Steiner trees, [2] including an attempted proof of Gilbert–Pollak conjecture on the Steiner ratio, and the existence of a polynomial-time heuristic with a performance ratio bigger than the Steiner ratio.
Once again, coach Greg McDermott has knocked off the top-ranked team in the country. His Creighton team rolled over No. 1 Kansas 76-63 on Wednesday night at the CHI Health Center in Omaha in the ...
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