Mathematical Toolkit Autumn 2015 Lecture 12 : November 11 , 2015

نویسنده

  • Madhur Tulsiani
چکیده

φ ≡ C1 ∧ · · · ∧ Cm , where each Ci is a clause of the form Ci = (li1 ∨ li2 ∨ li3) and each lij is in turn xij or its negation xij . We assume that each clause contains three distinct variables. In the problem Max 3-SAT, the goal is not necessarily to satisfy all the clauses, but rather find an assignment to the variables which satisfies as many clauses as possible. We show that for any formula φ with m clauses, one can find an assignment satisfying 7m/8 clauses.

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تاریخ انتشار 2015