Approximation Algorithms for NP-Hard Problems by Dorit Hochbaum
Approximation Algorithms for NP-Hard Problems Dorit Hochbaum ebook
ISBN: 0534949681, 9780534949686
Publisher: Course Technology
Yet most such problems are NP-hard. Also the bottleneck variant of the problem is shown to be solvable in polynomial time. Finally we prove that the general problem is NP-hard, and that the existence of a constant-factor-approximation algorithm is unlikely. If yes, you may like to visit this site: A Compendium of NP optimization problems. This is one of Karp's original NP-complete problems. The problem is NP-hard and an approximation algorithm has been described in the reference. Heuristics for NP-hard problems. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. It is known that the decisional subset-sum is NP-complete (I believe this result is essentially due to Karp). I'm enjoying reading notes from Shuchi Chawla's course at the University of Wisconsin, Madison on approximation algorithms for NP-hard optimization problems. Instead of trying to solve this problem exactly, we will reason about whether constant factor approximation algorithms exist, i.e. Have you ever wondered if a specific NP-hard problem has an approximation algorithm or not?
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