constrained minimum spanning tree

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• Minimum spanning tree — The minimum spanning tree of a planar graph. Each edge is labeled with its weight, which here is roughly proportional to its length. Given a connected, undirected graph, a spanning tree of that graph is a subgraph that is a tree and connects all… …   Wikipedia

• Degree-constrained spanning tree — In graph theory, a degree constrained 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 whether a particular graph has such a spanning …   Wikipedia

• Minimum degree spanning tree — In graph theory, for a connected graph G, a spanning tree T is a subgraph of G with the least number of edges that still spans G. A number of properties can be proved about T. T is acyclic, has ( | V | − 1) edges where V is the number of vertices …   Wikipedia

• List of NP-complete problems — Here are some of the more commonly known problems that are NP complete when expressed as decision problems. This list is in no way comprehensive (there are more than 3000 known NP complete problems). Most of the problems in this list are taken… …   Wikipedia

• Travelling salesman problem — The travelling salesman problem (TSP) is an NP hard problem in combinatorial optimization studied in operations research and theoretical computer science. Given a list of cities and their pairwise distances, the task is to find a shortest… …   Wikipedia

• Mathematical optimization — For other uses, see Optimization (disambiguation). The maximum of a paraboloid (red dot) In mathematics, computational science, or management science, mathematical optimization (alternatively, optimization or mathematical programming) refers to… …   Wikipedia

• Linear programming — (LP, or linear optimization) is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of requirements represented as linear relationships.… …   Wikipedia

• Combinatorial optimization — In applied mathematics and theoretical computer science, combinatorial optimization is a topic that consists of finding an optimal object from a finite set of objects.[1] In many such problems, exhaustive search is not feasible. It operates on… …   Wikipedia

• Convex optimization — Convex minimization, a subfield of optimization, studies the problem of minimizing convex functions over convex sets. Given a real vector space X together with a convex, real valued function defined on a convex subset of X, the problem is to find …   Wikipedia

• Dynamic programming — For the programming paradigm, see Dynamic programming language. In mathematics and computer science, dynamic programming is a method for solving complex problems by breaking them down into simpler subproblems. It is applicable to problems… …   Wikipedia

• Delaunay triangulation — A Delaunay triangulation in the plane with circumcircles shown In mathematics and computational geometry, a Delaunay triangulation for a set P of points in the plane is a triangulation DT(P) such that no point in P is inside the circumcircle of… …   Wikipedia