April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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778 Design and Analysis of Algorithms
for the u
i
s that satisfi es all of the clauses. Note that the above transformation is indeed a polynomial time
mapping. Thus SAT ≺ 3-SAT and we are done. It was quite easy to prove that 3-SAT is NP-Complete as
it was quite a restricted version of the satisfi ability problem.
11. First, we shall review the process of proving a problem NP-Complete. We can start from beginning, but
that is time consuming and unnecessary, especially when we have a good technique like reduction. All
we need to do is:
1. Show that the problem is in NP.
2. Reduce an NP-complete problem to it.
3. Show that the reduction ...
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