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On Polynomial Time Approximation Bounded Solution for TSP and NP Complete Problems

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 نشر من قبل David Tian
 تاريخ النشر 2016
  مجال البحث الهندسة المعلوماتية
والبحث باللغة English
 تأليف Wenhong Tian




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The question of whether all problems in NP class are also in P class is generally considered one of the most important open questions in mathematics and theoretical computer science as it has far-reaching consequences to other problems in mathematics, computer science, biology, philosophy and cryptography. There are intensive research on proving `NP not equal to P and `NP equals to P. However, none of the `proved results is commonly accepted by the research community up to date. In this paper, motived by approximability of traveling salesman problem (TSP) in polynomial time, we aim to provide a new perspective: showing that NP=P from polynomial time approximation-bounded solutions of TSP in Euclidean space.

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