[ExI] A breakthrough in computer science?
Dan TheBookMan
danust2012 at gmail.com
Wed Nov 11 23:50:17 UTC 2015
> On Nov 11, 2558 BE, at 2:51 PM, Adrian Tymes <atymes at gmail.com> wrote:
> On Nov 11, 2015 9:47 AM, "John Clark" <johnkclark at gmail.com> wrote:
> > László Babai says he's found a
> >
> > algorithm that can solve the Graph
> >
> > Isomorphism
> >
> > Problem
> >
> > in
> >
> > Quasi-polynomial
> >
> > Time, that is to say the difficulty in solving
> > the problem
> >
> > would
> > grow with the size
> > of
> > the input much less than 2^n and just slightly more than n^2
> > ; that would be a huge improvement
> > . The Graph
> >
> > Isomorphism
> >
> > Problem
> >
> > involves calculating if two complicated graphs are wired up the same way or not. If Babai's claim holds up you might not need a Quantum Computer if you wanted to do chemical experiments by way of electronic simulation and not in a messy lab, you might be able to do it with
> > just
> > a regular computer. If Babai
> >
> > 's claim holds up it would be the most important development in
> >
> > theoretical computer science in the last 10 years.
> >
> > http://news.sciencemag.org/math/2015/11/mathematician-claims-breakthrough-complexity-theory
>
> The article doesn't detail what the improvement actually is. Guess we're waiting on the presentation and subsequent peer review.
>
I reckon. I did a quick search and didn't find anything peer-reviewed on this either. See:
http://people.cs.uchicago.edu/~laci/quasipoly.html
Anyhow, I expect it won't be long given the story in Science.
Regards,
Dan
Sample my Kindle books via:
http://author.to/DanUst
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