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The Golden TicketP, NP, and the Search for the Impossible$
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Lance Fortnow

Print publication date: 2017

Print ISBN-13: 9780691175782

Published to Princeton Scholarship Online: May 2018

DOI: 10.23943/princeton/9780691175782.001.0001

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Dealing with Hardness

Dealing with Hardness

Chapter:
(p.89) Chapter 6 Dealing with Hardness
Source:
The Golden Ticket
Author(s):

Lance Fortnow

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691175782.003.0006

This chapter demonstrates several approaches for dealing with hard problems. These approaches include brute force, heuristics, and approximation. Typically, no single technique will suffice to handle the difficult NP problems one needs to solve. For moderate-sized problems one can search over all possible solutions with the very fast computers available today. One can use algorithms that might not work for every problem but do work for many of the problems one cares about. Other algorithms may not find the best possible solution but still a solution that's good enough. Other times one just cannot get a solution for an NP-complete problem. One has to try to solve a different problem or just give up.

Keywords:   heuristics, approximation, NP problems, fast computers, algorithms, NP-complete problems

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