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Article #1750

Re: Cryptography and P=NP

#1750
From: Paul Rubin
Date: Sun, 15 Nov 1992 20:38
21 lines
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>Professor E.R. Swart of the Computer Science Department at the University
>of Guelph, has recently developed a polynomial-sized linear programing
>formulation of the graph isomorphism problem and he has been able to show
>that with minor modifications, this same formulation can be used to solve
>the Hamilton tour, clique and other subgraph isomorphism problems.

Fortunately or unfortunately, Swart's stuff is like the "proofs"
of Fermat's last theorem that turn up from time to time.  He
first released his P=NP "proof" in the early 80's and has been
trying to patch up the mistakes ever since.

Also, nobody has ever proved that graph isomorphism is NP-complete,
unlike those other problems.  There is a clever argument by Goldwasser
and Sipser from a few years ago that graph isomorphism is probably
*not* NP-complete.  (I don't keep up with this field and don't
know what's been happening since then.).

It is true that if P=NP then all cryptography everywhere (not just RSA)
is dead; but at this point I wouldn't take Swart's claims seriously
without seeing some consensus among complexity efforts that unlike
his previous attempts, his latest effort is free of bugs.
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Message-ID: <PHR.92Nov15203840@napa.telebit.com>
Path: arc1-ca.pugleaf.net!sparky!uunet!telebit!phr
References: <1992Nov15.110945.19939@ringer.cs.utsa.edu>

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Newsgroups: sci.crypt,sci.math,comp.theory
Path: arc1-ca.pugleaf.net!sparky!uunet!telebit!phr
From: phr@telebit.com (Paul Rubin)
Subject: Re: Cryptography and P=NP
In-Reply-To: djimenez@ringer.cs.utsa.edu's message of Sun, 15 Nov 1992 11:09:45 GMT
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References: <1992Nov15.110945.19939@ringer.cs.utsa.edu>
Date: 15 Nov 92 20:38:40
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