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focs07.pdf
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🔗 Source: theory.epfl.ch
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📄 Pages: 9 pages
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Summary

Researchers prove that three NP-hard problems - Sparsest Cut, Optimal Linear Arrangement, and precedence constrained scheduling problem 1|prec| P wjCj - have no Polynomial Time Approximation Scheme (PTAS) unless NP-complete problems can be solved in randomized subexponential time. They also show that the scheduling problem is as hard to approximate as Vertex Cover when the fixed cost is subtracted from the objective function. The results are based on the Quasi-random PCP construction and provide evidence that the various 2-approximation algorithms for 1|prec| P wjCj might be tight.

Description

Researchers prove that three NP-hard problems - Sparsest Cut, Optimal Linear Arrangement, and precedence constrained scheduling problem 1|prec| P wjCj - have...

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  • File Format: PDF
  • File Size: 253 KB
  • Pages: 9
  • Language: EN
  • Total Downloads: 87
  • Last Updated: 6 hours ago

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