Piotr Berman, Marek Karpinski

We consider bounded occurrence (degree) instances of a minimum

constraint satisfaction problem MIN-LIN2 and a MIN-BISECTION problem for

graphs. MIN-LIN2 is an optimization problem for a given system of linear

equations mod 2 to construct a solution that satisfies the minimum number

of them. E3-OCC-MIN-E3-LIN2 ...
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Marek Karpinski

We present some of the recent results on computational complexity

of approximating bounded degree combinatorial optimization problems. In

particular, we present the best up to now known explicit nonapproximability

bounds on the very small degree optimization problems which are of

particular importance on the intermediate stages ...
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Piotr Berman, Marek Karpinski

This paper studies the existence of efficient (small size)

amplifiers for proving explicit inaproximability results for bounded degree

and bounded occurrence combinatorial optimization problems, and gives

an explicit construction for such amplifiers. We use this construction

also later to improve the currently best known approximation lower bounds

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