Chapter 18

Some NP and NP-Complete Problems

Objectives

After reading this chapter, you should understand:

  • A few important Real Life NP-Hard and NP-Complete Problems in detail
  • An Informal definition of NP-Hardness and NP-Completeness
  • P and NP classes in terms of the Turing Machine
  • Reducibility of problems so that NP Completeness can be proven
  • How to use the notion of reducibility to prove NP-Completeness for several Classical Problems

Chapter Outline

18.1 Introduction

18.1.1 NP-Hardness

18.1.2 NP-Completeness

18.1.3 Consequences of being in P

18.1.4 Reduction Source Problems

18.2 Turing Machine (TM)

18.2.1 Relation between Problems and Languages

18.2.2 Decision Problems and Languages

18.3 Reductions

18.3.1 Definition of Reductions

18.3.2 Reduction ...

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