### Some articles on *approximation algorithms, approximation algorithm, approximation, algorithm*:

Maximum Cut -

... Thus, every polynomial-time

**Approximation Algorithms**... Thus, every polynomial-time

**approximation algorithm**achieves an**approximation**ratio strictly less than one ... There is a simple randomized 0.5-**approximation algorithm**for each vertex flip a coin to decide to which half of the partition to assign it ... This**algorithm**can be derandomized with the method of conditional probabilities therefore there is a simple deterministic polynomial-time 0.5-approximati ...Travelling Salesman Problem - Computing A Solution - Special Cases - Metric TSP

... in terms of the minimum spanning tree and design an

... in terms of the minimum spanning tree and design an

**algorithm**that has a provable upper bound on the length of the route ... The Christofides**algorithm**follows a similar outline but combines the minimum spanning tree with a solution of another problem, minimum-weight perfect ... The Christofides**algorithm**was one of the first**approximation algorithms**, and was in part responsible for drawing attention to**approximation algorithms**as a practical approach to ...Linear Programming Relaxation - Approximation and Integrality Gap

... Linear programming relaxation is a standard technique for designing

... Linear programming relaxation is a standard technique for designing

**approximation algorithms**for hard optimization problems ... Typically, this gap translates into the**approximation**ratio of an**approximation algorithm**... As Young (1995) showed, both the random part of this**algorithm**and the need to construct an explicit solution to the linear programming relaxation may be eliminated using the method of ...Planar Separator Theorem - Applications -

... observed that the separator theorem may be used to obtain polynomial time

**Approximation Algorithms**... observed that the separator theorem may be used to obtain polynomial time

**approximation**schemes for NP-hard optimization problems on planar graphs such as finding the ... However, for**approximation**ratios even closer to 1 than this factor, a later approach of Baker (1994) (based on tree-decomposition but not on planar separators) provides better tradeoffs of ... Similar separator-based**approximation**schemes have also been used to approximate other hard problems such as vertex cover ...Main Site Subjects

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