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Algorithms Lecture #45 Dr.Sohail Aslam

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Page 1: Algorithm lecture45

AlgorithmsLecture #45

Dr.Sohail Aslam

Page 2: Algorithm lecture45

Reductions

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Reductions

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Clique Cover

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Clique Cover

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Clique Cover

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Reductions

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Reductions

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Reductions

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Reductions

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3-Colorability <=> Clique Cover

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3-Colorability <=> Clique Cover

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Polynomial Time Reduction

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Polynomial Time Reduction

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Polynomial Time Reduction

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NP-Completeness

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NP-Completeness

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Recap

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Recap

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Recap

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Recap

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cook’s Theorem

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Boolean Satisfiability Problem

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Boolean Satisfiability Problem

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Boolean Satisfiability Problem

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Boolean Satisfiability Problem

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cook’s Theorem

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3-Conjuctive Normal Form

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3-Conjuctive Normal Form

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Independent Set Problem

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Edit Distance

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Independent Set Problem

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Independent Set Problem

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Independent Set Problem

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Independent Set Problem

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Independent Set Problem

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Independent Set Problem

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3SAT

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3SAT

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3SAT

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3SAT

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3SAT

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3SAT

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Coping with NP-Completeness

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Graph Coloring

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Boolean Satisflability problem


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