Explain the proof by Vinay Deolalikar that P != NP [closed]

I’ve only scanned through the paper, but here’s a rough summary of how it all hangs together. From page 86 of the paper. … polynomial time algorithms succeed by successively “breaking up” the problem into smaller subproblems that are joined to each other through conditional independence. Consequently, polynomial time algorithms cannot solve problems in regimes … Read more

What’s “P=NP?”, and why is it such a famous question? [closed]

P stands for polynomial time. NP stands for non-deterministic polynomial time. Definitions: Polynomial time means that the complexity of the algorithm is O(n^k), where n is the size of your data (e. g. number of elements in a list to be sorted), and k is a constant. Complexity is time measured in the number of … Read more

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