Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture · HackerPapers discussions

Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture — mentioned by amirhirsch

Tue, 05 Oct 2021 11:55:19 GMT

For those who want a real deep dive, I recommend this video course on Analysis of Boolean Functions from Ryan O'Donnell: https://www.youtube.com/watch?v=JIruJ8edYYM https://www.cs.cmu.edu/~odonnell/boolean-analysis/ And his book: http://www.cs.tau.ac.il/~amnon/Classes/2016-PRG/Analysis-Of-... Some recent progress in the field includes the amazingly simple proof of the Sensitivity Theorem by Hao Huang: https://arxiv.org/abs/1907.00847 Here's Knuth's one-page proof: https://www.cs.stanford.edu/~knuth/papers/huang.pdf

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Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture — HN submission

Tue, 01 Sep 2020 08:38:54 GMT

Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture

3 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture — HN submission

Wed, 07 Aug 2019 03:01:12 GMT

Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture

2 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture — HN submission

Mon, 05 Aug 2019 21:54:16 GMT

Sensitivity Conjecture Proof

1 point; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture — mentioned by plg

Fri, 26 Jul 2019 16:50:16 GMT

nice use of a single .tex file to produce the full .pdf https://arxiv.org/e-print/1907.00847 (rename to 1907.00847.tex and then latexmk -pdf 1907.00847.tex)

Paper and discussion history. A mention is not an endorsement.

Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture — mentioned by floatingatoll

Fri, 26 Jul 2019 03:31:49 GMT

On boolean sensitivies: https://d2r55xnwy6nx47.cloudfront.net/uploads/2019/07/Boolea... The closing quote: > [Huang] was able to prove that in any collection of more than half the points in an n-dimensional cube, there will be some point that is connected to at least √n of the other points — and the sensitivity conjecture instantly followed from this result The actual paper: https://arxiv.org/abs/1907.00847 Another blog post: https://www.scottaaronson.com/blog/?p=4229 An older HN post: https://news.ycombinator.com/item?id=20338281

Paper and discussion history. A mention is not an endorsement.