Polynomial Time Approximation Scheme

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• Polynomial-time approximation scheme — In computer science, a polynomial time approximation scheme (abbreviated PTAS) is a type of approximation algorithm for optimization problems (most often, NP hard optimization problems).A PTAS is an algorithm which takes an instance of an… …   Wikipedia

• Approximation algorithm — In computer science and operations research, approximation algorithms are algorithms used to find approximate solutions to optimization problems. Approximation algorithms are often associated with NP hard problems; since it is unlikely that there …   Wikipedia

• Tutte polynomial — This article is about the Tutte polynomial of a graph. For the Tutte polynomial of a matroid, see Matroid. The polynomial x4 + x3 + x2y is the Tutte polynomial of the Bull graph. The red line shows the intersection with the plane …   Wikipedia

• Chromatic polynomial — All nonisomorphic graphs on 3 vertices and their chromatic polynomials, clockwise from the top. The independent 3 set: k3. An edge and a single vertex: k2(k − 1). The 3 path: k(k − 1)2. The 3 clique …   Wikipedia

• PTAS — Polynomial Time Approximation Scheme (Academic & Science » Mathematics) …   Abbreviations dictionary

• Clique problem — The brute force algorithm finds a 4 clique in this 7 vertex graph (the complement of the 7 vertex path graph) by systematically checking all C(7,4)=35 4 vertex subgraphs for completeness. In computer science, the clique problem refers to any of… …   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

• Maximum cut — A maximum cut. For a graph, a maximum cut is a cut whose size is at least the size of any other cut. The problem of finding a maximum cut in a graph is known as the max cut problem. The problem can be stated simply as follows. One wants a subset… …   Wikipedia

• Steiner tree problem — Steiner tree for three points A, B, and C (note there are no direct connections between A, B, C). The Steiner point S is located at the Fermat point of the triangle ABC …   Wikipedia

• Knapsack problem — BKP redirects here. For other uses, see BKP (disambiguation). Example of a one dimensional (constraint) knapsack problem: which boxes should be chosen to maximize the amount of money while still keeping the overall weight under or equal to… …   Wikipedia

• APX — For other uses, see APX (disambiguation). In complexity theory the class APX (an abbreviation of approximable ) is the set of NP optimization problems that allow polynomial time approximation algorithms with approximation ratio bounded by a… …   Wikipedia