English

A Polynomial Time Algorithm for the Hamilton Circuit Problem

Data Structures and Algorithms 2014-02-07 v1

Abstract

In this paper, we introduce a so-called Multistage graph Simple Path (MSP) problem and show that the Hamilton Circuit (HC) problem can be polynomially reducible to the MSP problem. To solve the MSP problem, we propose a polynomial algorithm and prove its NP-completeness. Our result implies NP=P.

Cite

@article{arxiv.1305.5976,
  title  = {A Polynomial Time Algorithm for the Hamilton Circuit Problem},
  author = {Xinwen Jiang},
  journal= {arXiv preprint arXiv:1305.5976},
  year   = {2014}
}
R2 v1 2026-06-22T00:22:35.561Z