English

Transforming NP to P: An Approach to Solve NP Complete Problems

Computational Complexity 2015-05-04 v1

Abstract

NP complete problem is one of the most challenging issues. The question of whether all problems in NP are also in P 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 now. In this paper, instead of proving either one, we aim to provide new perspective: transforming two typical NP complete problems to exactly solvable P problems in polynomial time. This approach helps to solve originally NP complete problems with practical applications. It may shine light on solving other NP complete problems in similar way.

Keywords

Cite

@article{arxiv.1505.00058,
  title  = {Transforming NP to P: An Approach to Solve NP Complete Problems},
  author = {Wenhong Tian and GuoZhong Li and Xinyang Wang and Qin Xiong and Yaqiu Jiang},
  journal= {arXiv preprint arXiv:1505.00058},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T09:26:22.288Z