April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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Chptr 17
Tractl n N-ractl Prls
Objectives
After reading this chapter, you should understand:
•
The need for problem classifi cation: Tractable and Intractable
•
Upper and Lower Bounds
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Algorithmic Gap: Why the Lower Bound of a Problem and the Best Case of an
Algorithm are Different
•
The Class NP-Complete: Why it is a closed set
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Problem Transformation: One NP-complete problem to another
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NP-Completeness: How is it proved and Problem Reduction
•
Non-Deterministic Algorithms
•
The most famous open problem in Computer Science: P = NP ?
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Cook’s Theorem: First known proof of NPCompleteness
•
Approximate Solutions – What ...
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