Can We Prove P=NP? Insights from Richard Karp & Lex Fridman

Explore the complexities of proving P=NP with legendary computer scientist Richard Karp. Discover why this problem remains one of the biggest challenges in computer science and what concepts we still need to solve it. 🎯

Can We Prove P=NP? Insights from Richard Karp & Lex Fridman
Lex Clips
61.9K views • Jul 28, 2020
Can We Prove P=NP? Insights from Richard Karp & Lex Fridman

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Full episode with Richard Karp (Jul 2020): https://www.youtube.com/watch?v=KllCrlfLuzs
Clips channel (Lex Clips): https://www.youtube.com/lexclips
Main channel (Lex Fridman): https://www.youtube.com/lexfridman
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Richard Karp is a professor at Berkeley and one of the most important figures in the history of theoretical computer science. In 1985, he received the Turing Award for his research in the theory of algorithms, including the development of the Edmonds–Karp algorithm for solving the maximum flow problem on networks, Hopcroft–Karp algorithm for finding maximum cardinality matchings in bipartite graphs, and his landmark paper in complexity theory called "Reducibility Among Combinatorial Problems", in which he proved 21 problems to be NP-complete. This paper was probably the most important catalyst in the explosion of interest in the study of NP-completeness and the P vs NP problem.

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61.9K

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Duration

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Published

Jul 28, 2020

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