Article View: comp.theory
Article #1924Re: Suggstion: (was: Re: P=NP; the proof)
From: Marcel Schoppers
Date: Sat, 09 Jan 1993 00:14
Date: Sat, 09 Jan 1993 00:14
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2123 bytes
In article <1ij07vINN2f6@nunki.anu.edu.au> jmr@cs.anu.edu.au (Mike Robson) writes: >markh@csd4.csd.uwm.edu (Mark) writes: >>When you come up with a P=NP proof, first make sure you can translate it to >>several of the other known NP-complete problems. Each conversion should lead >>to some significant result and insight if the original proof is correct. >>Also, you'd get far more attention by simultaneously publicising polynomial >>algorithms for 10 to 20 NP-complete problems, and a single tenuous and >>highly abstract proof. The conversions are in the literature, so it's >>a trivial bookkeeping process to develop 20 algorithms from one. > >>Second, test the thing out before publicising it, by running the algorithms on >>actual cases and then using these test cases to exemplify the algorithms when >>you do publicise them. > >>If you're refereeing journals or otherwise trying to determine the validity >>of P=NP proofs, reject all alleged proofs that don't meet the two criteria >>above. >>Mark > >Thanks for the suggestion. > >I've just come up with a fantastic n^12 algorithm for the subset sum >problem which translates into a n^24 algorithm for SAT which gives me >a n^48 algorithm for graph isomorphism. As soon as I have tested this >on a few non trivial pairs of nonisomorphic graphs I'll submit >it to CACM (or whatever journal seesm appropriate in 100993). >Mike Robson. Better yet: I've just come up with a beautiful n^2 algorithm for graph isomorphism, but the actual execution time is 10^100 * n^2 seconds. Marcel
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Newsgroups: comp.theory Path: arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!saimiri.primate.wisc.edu!ames!ads.com!marcel From: marcel@ADS.COM (Marcel Schoppers) Subject: Re: Suggstion: (was: Re: P=NP; the proof) Message-ID: <1993Jan9.001406.24951@ads.com> Keywords: Collapse of hierarchy Sender: Marcel Schoppers Organization: Advanced Decision Systems, Mtn. View, CA (415)960-7300 References: <1ifljqINN137@nunki.anu.edu.au> <1iicnjINNloe@uwm.edu> <1ij07vINN2f6@nunki.anu.edu.au> Distribution: inet Date: Sat, 9 Jan 1993 00:14:06 GMT Lines: 33