NP-Complete Reductions: Clique, Independent Set, Vertex Cover, and Dominating Set

This lecture covers NP-Complete reductions focusing on Clique, Independent Set, Vertex Cover, and Dominating Set problems. The corrected definition for Vertex Cover is included, along with prerequisites and detailed explanations.

Algorithms with Attitude•46.2K views•13:23

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About this video

The previous version had a flawed definition (for Vertex Cover), which has been fixed here. Table of Contents: 00:00 - Introduction and Prerequisites: 00:28 - Independent Set Definition 01:17 - Reducing Independent Set to/from Clique 02:53 - Vertex Cover Definition 03:39 - Reducing Independent Set to/from Vertex Cover 04:24 - Reduction Compositions 05:00 - NP-Hard and NP-Complete Definitions 06:02 - Proving additional problems NP-Hard 07:09 - Dominating Set Definition 08:13 - Reducing Vertex Cover to Dominating Set 12:38 - Up Next

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46.2K

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13:23

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Published
Jan 19, 2021

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hd

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Algorithms with Attitude

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#algorithms #data structures #David Scot Taylor #Clique #NP-Complete #NP #NP-Hard #Vertex Cover #Dominating Set #Independent Set #problems #np reduction problems #np complete problems

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