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Approximation Algorithms for NP-Hard Problems by Dorit Hochbaum

Approximation Algorithms for NP-Hard Problems Dorit Hochbaum ebook
Format: djvu
Publisher: Course Technology
Page: 620
ISBN: 0534949681, 9780534949686

Finally, we assume that the reader knows something about NP-completeness, at least enough to know that there might be good reason for wanting fast, approximate solutions to NP-hard discrete optimization problems. The field of "Sparse Approximation" deals with ways to perform atom decomposition, namely finding the atoms building the data vector. Approximation Algorithms for NP-Hard Problems by Dorit Hochbaum. If one can establish a problem as NP-complete, there is strong reason to believe that it is intractable. Note that hardness relations are always with respect to some reduction. Often, when dealing with the class NPO, one is interested in optimization problems for which the decision versions are NP-hard. (So to solve an instance of the Hitting Set Problem, it suffices to solve the instance of your problem with. For graduate-level courses in approximation algorithms. Approximation algorithms for the traveling salesman problem 443. The expected value of a discrete random variable). It assumes familiarity with algorithms, mathematical proofs about the correctness of algorithms, probability theory and NP-completeness. Approximation algorithms for the knapsack problem 453. Due to the connection between approximation algorithms and computational optimization problems, reductions which preserve approximation in some respect are for this subject preferred than the usual Turing and Karp reductions. We would then do better by trying to design a good approximation algorithm rather than searching endlessly seeking an exact solution. The Hitting Set problem is NP-hard [Karp' 72]. Approximation Algorithms for NP-Hard Problems pdf download. Numerous practical problems are integer optimization problems that are intractable. 12.3 approximation algorithms for np-hard problems 441. Approximation Algorithms for NP-Hard Problems.