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Graph Isomorphism Algorithm Breaks 30-Year Impasse

222 pointsby kerckerover 9 years ago

10 comments

greover 9 years ago
Graph Isomorphism in Quasipolynomial Time: <a href="http:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;1512.03547" rel="nofollow">http:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;1512.03547</a>
onetwotreeover 9 years ago
Look at this asshole, having a finite Erdos number and publishing solo ;-)
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nine_kover 9 years ago
Previously posted and discussed extensively:<p><a href="https:&#x2F;&#x2F;hn.algolia.com&#x2F;?query=Graph%20Isomorphism&amp;sort=byPopularity&amp;prefix&amp;page=0&amp;dateRange=all&amp;type=story" rel="nofollow">https:&#x2F;&#x2F;hn.algolia.com&#x2F;?query=Graph%20Isomorphism&amp;sort=byPop...</a>
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dcohenpover 9 years ago
&gt; No one has ever found an efficient algorithm for an NP-complete problem, and most computer scientists believe no one ever will.<p>I find these kinds of assertions somewhat misleading. There _are_ &quot;efficient&quot; algorithms for, one could say, &quot;pragmatic variations&quot; of NP-complete problems. Some only work on some subset of cases (perhaps most of the useful ones), or non-deterministic (but you run them enough times and get the right answer), etc.
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raverbashingover 9 years ago
Ok so the question is, while theoretically this is an important work, is it really worthy having a practical implementation?<p>(I remember something similar happening with &quot;Primality testing is P&quot; but the existing, non-P algorithms were good enough so people wouldn&#x27;t bother using it except in specific situations)
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LesZedCBover 9 years ago
Is somebody able to explain in more detail what the &quot;Greater metropolitan area&quot; of P space means? I have a CS undergrad degree so I get what polynomial space is, just not sure about the quasi-p-space part.
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superuser2over 9 years ago
I very nearly took Algorithms from this guy. Toughest professor (and grader) in the CS program, by far. He&#x27;s quite a character, though.
Devid2014over 9 years ago
What happens with this one ?<p>Polynomial Time Algorithm for Graph Isomorphism Testing. <a href="http:&#x2F;&#x2F;mt2.comtv.ru&#x2F;" rel="nofollow">http:&#x2F;&#x2F;mt2.comtv.ru&#x2F;</a><p>Is this a hoax or has some substance ?
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Zach_the_Lizardover 9 years ago
How long until we start seeing this algorithm in Google interviews?
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jgnover 9 years ago
Thanks for posting this. In the future, could you please add the algorithm to the title? This feels a couple steps removed from clickbait. No offense intended; it&#x27;s just a suggestion.
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