Understanding Polynomial-Time Reduction in NP-Hard and NP-Complete Problems

This article introduces the concept of polynomial-time reduction, which operates within polynomial time. It also explores the definitions and implications of NP-hardness and NP-completeness.

Easy Theory•65.0K views•8:56

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Here we introduce a "polynomial-time reduction," which is one in which takes polynomial time (obviously). We also introduce the notion of NP-hardness and NP-completeness. We then show that if a problem is NP-complete, and is also in P, then P = NP. Easy Theory Website: https://www.easytheory.org GoFundMe: https://www.gofundme.com/f/easy-theory-video-studio Patreon: https://www.patreon.com/EasyTheoryYT Fourthwall: https://easy-theory-llc-shop.fourthwall.com Problem Solving channel: ​⁠ @easytheoryprobsolve If you like this content, please consider subscribing to my channel: https://www.youtube.com/channel/UC3VY6RTXegnoSD_q446oBdg?sub_confirmation=1

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#easy theory #np-hard #np-hard and np-complete problems and concepts #np-hard problems #np-complete #np-complete problems #polynomial time #polynomial time reduction #polynomial time explained #np complete #np complete problems #np complete explained #complexity theory p and np class problems #np hard #np hard and np complete problems #np hard explained #np hard and np complete #np reduction problems #np reduction #p versus np #computational complexity #complexity theory

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65.0K

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894

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Duration
8:56

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Published
Mar 9, 2021

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