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Approximation Algorithms for NP-Hard Problems pdf

Approximation Algorithms for NP-Hard Problems pdf

Approximation Algorithms for NP-Hard Problems. Dorit Hochbaum

Approximation Algorithms for NP-Hard Problems

ISBN: 0534949681,9780534949686 | 620 pages | 16 Mb

Download Approximation Algorithms for NP-Hard Problems

Approximation Algorithms for NP-Hard Problems Dorit Hochbaum
Publisher: Course Technology

Approximation algorithms have developed in response to the impossibility of solving a great variety of important optimization problems. There is an analogous notion of pathwidth which is also NP-complete. Explain NP-Complete and NP- Hard problem. The field of "Sparse Approximation" deals with ways to perform atom decomposition, namely finding the atoms building the data vector. Open Problems : Perhaps the most interesting open question is to obtain a constant factor approximation for treewidth. The study of approximation algorithms for NP-hard problems has blossomed into a rich field, especially as a result of intense work over the last two decades. (So to solve an instance of the Hitting Set Problem, it suffices to solve the instance of your problem with. NP-complete problems are often addressed by using approximation algorithms. Because all of these problems are NP-hard, the primary goal of this research is to produce polynomial-time, approximation algorithms for each problem considered. TOP 30 IMPORTANT QUESTION OF Design & Analysis of Algorithm(DAA) For GBTU/MMTU C.S./I.T. See [BGHK'95] for interesting applications of treewidth Eg : Choleski factorization on sparse symmetric matrices. The Hitting Set problem is NP-hard [Karp' 72]. Al ruled out absolute approximation algorithm, (unless P = NP) for treewidth and pathwidth. One standard approach to tractably solving an NP-hard problem is to find another algorithm with an approximation guarantee. For graph estimation, we consider the problem of estimating forests with restricted tree sizes. Also Discuss What is meant by P(n)-approximation algorithm? No approximation algorithm with a ratio better than roughly 0.941 exists unless P=NP. Unfortunately the problem is not only NP-complete, but also hard to approximate. With Christos Papadimitriou in 1988, he framed the systematic study of approximation algorithms for {mathsf{NP}} -hard optimization problems around the classes {mathsf{MaxNP}} and {mathsf{MaxSNP}} . Approximating tree-width : Bodlaender et.

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