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A Probabilistic Attack on NP-complete Problems

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 نشر من قبل Alexander Davydov
 تاريخ النشر 2011
  مجال البحث الهندسة المعلوماتية
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Using the probability theory-based approach, this paper reveals the equivalence of an arbitrary NP-complete problem to a problem of checking whether a level set of a specifically constructed harmonic cost function (with all diagonal entries of its Hessian matrix equal to zero) intersects with a unit hypercube in many-dimensional Euclidean space. This connection suggests the possibility that methods of continuous mathematics can provide crucial insights into the most intriguing open questions in modern complexity theory.


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