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...

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...

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...

The rectilinear Steiner tree problem, minimum rectilinear Steiner tree problem (MRST), or rectilinear Steiner minimum tree problem (RSMT) is a variant...

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:...

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...

classical Steiner tree problem. This work also formulated the Gilbert–Pollak conjecture on the ratio between the length of the Steiner tree and minimum...

subsequent authors on the Steiner tree problem, e.g. Robins and Zelikovsky proposed an approximation algorithm for Steiner tree problem which on quasi-bipartite...

arise in approximation algorithms; a famous example is the directed Steiner tree problem, for which there is a quasi-polynomial time approximation algorithm...

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...

approximation Variations of the Steiner tree problem. Specifically, with the discretized Euclidean metric, rectilinear metric. The problem is known to be NP-hard...

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...

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...

algorithms for combinatorial optimization problems including the travelling salesperson problem and the Steiner tree problem. She is a junior professor in the...

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...

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)...

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...

computational problems: Network design: Improves approximation algorithms for problems like the Group Steiner tree problem (a generalization of the Steiner tree problem)...

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...

Almost every problem associated with routing is known to be intractable. The simplest routing problem, called the Steiner tree problem, of finding the...

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...

Winter, Dana; Winter, Pawel (1992). "The Steiner Tree Problem". Annals of Discrete Mathematics. DIMACS Steiner Tree Challenge Ruchansky, Natali; Bonchi, Francesco;...

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...

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...

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...

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...

ending objects in a geodesic; when m=1 and n>1, this is the Directed Steiner Tree Problem, which is NP-hard. Commuting diagrams are important for at least...

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...

In mathematics and computer science, optimal radix choice is the problem of choosing the base, or radix, that is best suited for representing numbers...

undirected graphs, for formulating the Steiner tree problem on networks, and for his work on facility location problems on networks. Hakimi, S. L. (1963),...