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.

Understanding Polynomial-Time Reduction in NP-Hard and NP-Complete Problems
Easy Theory
65.0K views β€’ Mar 9, 2021
Understanding Polynomial-Time Reduction in NP-Hard and NP-Complete Problems

About this video

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.

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Video Information

Views

65.0K

Likes

894

Duration

8:56

Published

Mar 9, 2021

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