MIT Department of Electrical Engineering & Computer Science

E E C S

Some Optimal Inapproximability Results

Johan Hastad
Royal Institute of Technology

Friday, October 18, 1996
10:30 AM
Room NE43-308
Theory of Computation Seminar

Abstract

Very informally we will discuss some recent inapproximability results.

Let MAX-LIN-EQ-2 be the problem of given a set of linear equations mod 2 determine the maximal number of equations that can be solved simultaneously. We aim to present a proof that unless NP=P for any e>0 this problem cannot be approximated with 2-e in polynomial time. The techniques extend to get the inapproximability constant 8/7-e for MAX-3-SAT.

Host: Shafi Goldwasser


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Created: Oct 24, 1996  | Modified: Jun 24, 1997
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