NP Completeness and Approximation algorithms

  • P Problems, NP Problems, NP Hard Problems, NP Complete Problems
  • Proofs of NP Complete Problems
  • Prove that SAT is NP Complete
  • Prove that 3SAT is NP Complete.
  • Prove that Clique is NP Complete
  • Prove that Vertex Cover is NP Complete.
  • What is Approximation Algorithms?
  • How Approx Vertex Cover algorithm works?
  • Prove that Approx Vertex Cover is polynomial time 2 approximation algorithm?
  • How Approx TSP works?
  • Approximation algorithm for Bin Packing.
  • Prove that Approx TSP is polynomial time 2 approximation algorithm?
NP Completeness.

Proof that 3CNF SAT is NP Complete

Proof that Clique is NPC

CLEQUE, VC and Ind Set

Approximation algorithm

Approximation algorithm for Bin Packing

Approximation Algorithm

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