mathematics, the Steiner tree problem, or minimum Steiner tree problem, named after Jakob Steiner, is an umbrella term for a class of problems in combinatorial...
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points alone. The name of these points comes from the Steiner tree problem, named after Jakob Steiner, in which the goal is to connect the input points by...
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The rectilinear Steiner tree problem, minimum rectilinear Steiner tree problem (MRST), or rectilinear Steiner minimum tree problem (RSMT) is a variant...
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tree problem has been shown to be NP-hard by a reduction from the Steiner tree problem. The reduction takes as input an instance of the Steiner tree problem:...
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mathematics, Steiner's problem (named after Jakob Steiner) may refer to: Steiner's calculus problem The Steiner tree problem Steiner's conic problem This disambiguation...
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approximation Variations of the Steiner tree problem. Specifically, with the discretized Euclidean metric, rectilinear metric. The problem is known to be NP-hard...
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solution to the Steiner tree problem for those three vertices The Fermat point of a triangle, the solution to the Steiner tree problem for the three vertices...
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Winter, Dana; Winter, Pawel (1992). "The Steiner Tree Problem". Annals of Discrete Mathematics. DIMACS Steiner Tree Challenge Ruchansky, Natali; Bonchi, Francesco;...
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subsequent authors on the Steiner tree problem, e.g. Robins and Zelikovsky proposed an approximation algorithm for Steiner tree problem which on quasi-bipartite...
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ISBN 978-3-540-85218-6. Hwang, Frank; Richards, Dana; Winter, Pawel (1992), The Steiner Tree Problem, Annals of Discrete Mathematics (North-Holland Mathematics Studies)...
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compute shortest paths. A very similar model can be shown to solve the Steiner tree problem. However, these models are externally consistent but not internally...
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Hamiltonian cycle. The Steiner tree of a subset of the vertices is the minimum tree that spans the given subset. Finding the Steiner tree is NP-Complete. The...
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form, forming a tree with smaller total length. In comparison, the Steiner tree problem has a stronger angle bound: an optimal Steiner tree has all angles...
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the optimum solution, the problem is W[2]-hard (due to a folklore reduction from the Dominating Set problem). Steiner Tree is also known to be APX-hard...
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algorithms for combinatorial optimization problems including the travelling salesperson problem and the Steiner tree problem. She is a junior professor in the...
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Time complexity (redirect from Polynomial-time problem)
arise in approximation algorithms; a famous example is the directed Steiner tree problem, for which there is a quasi-polynomial time approximation algorithm...
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Vertex cover (redirect from Vertex cover problem)
2010-03-05. Garey, Michael R.; Johnson, David S. (1977). "The rectilinear Steiner tree problem is NP-complete". SIAM Journal on Applied Mathematics. 32 (4): 826–834...
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centered decagonal number. For the Steiner tree problem, 31 is the number of possible Steiner topologies for Steiner trees with 4 terminals. At 31, the Mertens...
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undirected graphs, for formulating the Steiner tree problem on networks, and for his work on facility location problems on networks. Hakimi, S. L. (1963),...
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Other problems for which the greedy algorithm gives a strong guarantee, but not an optimal solution, include Set cover The Steiner tree problem Load balancing...
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Almost every problem associated with routing is known to be intractable. The simplest routing problem, called the Steiner tree problem, of finding the...
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Fermat point (redirect from Fermat's problem)
The Fermat point gives a solution to the geometric median and Steiner tree problems for three points. The Fermat point of a triangle with largest angle...
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Hanan Grid Problems Networks, vol. 38, 2000, pp. 200-221 Christine R. Leverenz, Miroslaw Truszczynski, The Rectilinear Steiner Tree Problem: Algorithms...
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Miloš Kössler [cs] (1934) on the Euclidean Steiner tree problem. In this problem, one must again form a tree connecting a given set of points, with edge...
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spanning tree is a spanning tree where the maximum vertex degree is limited to a certain constant k. The degree-constrained spanning tree problem is to determine...
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minimum Steiner tree problem with an approximation ratio 1.55, widely cited by his peers and also widely held in libraries. "Improved Steiner Tree Approximation...
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are able to memorize mazes. It is proposed as a solution to the Steiner tree problem to figure out the shortest path between two points. Additionally...
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two points have the same parity Quasi-bipartite graph, a type of Steiner tree problem instance in which the terminals form an independent set, allowing...
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the bond percolation problem then there must be a giant component in the RGG. Gilbert did important work on the Steiner tree problem in 1968, formulating...
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symmetrization Steiner system Steiner surface Steiner conic Steiner's conic problem Steiner's problem Steiner tree Steiner chain Poncelet–Steiner theorem Parallel...
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