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

TL;DR

This paper proposes a novel approach to transform certain NP-complete problems into polynomial-time solvable P problems, offering practical solutions and new perspectives on longstanding computational complexity questions.

Contribution

It introduces a method to convert specific NP-complete problems into exactly solvable P problems within polynomial time, bypassing the need to resolve the P vs NP question.

Findings

Successfully transforms NP-complete problems into P problems

Provides practical solutions for specific NP-complete problems

Suggests potential for applying this approach to other NP problems

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.