Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site watdaisy.UUCP Path: utzoo!watmath!watnot!watdaisy!ghgonnet From: ghgonnet@watdaisy.UUCP (Gaston H Gonnet) Newsgroups: net.math,net.research Subject: Re: Need article on P=NP Message-ID: <7682@watdaisy.UUCP> Date: Wed, 26-Mar-86 15:56:58 EST Article-I.D.: watdaisy.7682 Posted: Wed Mar 26 15:56:58 1986 Date-Received: Thu, 27-Mar-86 01:30:02 EST References: <4626BSD@PSUVM> <674@down.FUN> Organization: U of Waterloo, Ontario Lines: 17 Xref: watmath net.math:3002 net.research:440 Transcribed without comment (I have the technical report). Title: P = NP by E.R. Swart, Department of Computing and Information Science, University of Guelph, Research Report CIS86-02, February 1986. Abstract: A mathematical progamming formulation of the Hamilton circuit problem involving zero/one restrictions and triply subscripted variables is presented and by relaxing the zero/one restrictions and adding additional linear constraints together with additional variables, with up to as many as 8 subscripts, this formulation is converted into a linear programming formulation. In the light of the results of Kachiyan and Karmakar concerning the existence of polynomial time algorithms for linear programming this establishes the fact that the Hamilton circuit problem can be solved in polynomial time. Since the Hamilton circuit problem belongs to the set of NP-complete problems it follows that P = NP.