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Jan 22, 2015 at 14:01 comment added hengxin What if there are more than one max-cut solutions in the original graph? For example, consider the complete graph with 4 nodes.
Apr 20, 2014 at 21:56 vote accept so.very.tired
Apr 20, 2014 at 21:31 comment added user2566092 @so.very.tired Yes that's exactly the clause you should add if it's (1,0) or (0,1). And 2-sat has a polynomial time solution (even linear time solution), see. e.g. en.wikipedia.org/wiki/2-satisfiability
Apr 20, 2014 at 21:25 comment added so.very.tired And what clauses should I add for if $(x_u,x_v)=(1,0)$ or $(0,1)$? should it be $(\neg x_v\vee \neg x_u)\wedge (x_v\vee x_u)$?
Apr 20, 2014 at 21:09 comment added so.very.tired Thanks for the help, but isn't the 2-sat problem NP-Complete? How can I find an assignment that satisfies the formula after creating it, in polynomial time?
Apr 20, 2014 at 19:33 history edited user2566092 CC BY-SA 3.0
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Apr 20, 2014 at 19:20 history answered user2566092 CC BY-SA 3.0