The proof of the P vs NP problem based on the Hadwiger conjecture (At present, as a feasible proof idea)

At present, as a feasible proof idea.The proof of the P vs NP problem based on the Hadwiger conjecture proves that P ≠ NP, and the result not only solves the P vs NP problem, but also provides a structural perspective: the general difficulty of the NP complete problem essentially comes from the implicit nested occlusion of the constraint structure; and the standard The locality of the computational model determines that it cannot penetrate such deep nested structures in polynomial time. Future work can further extend this framework to other NP complete problems and establish a unified structural lower boundary theory.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24057743
Primary Topic
Complexity and Algorithms in Graphs
Type
preprint
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preprint

The proof of the P vs NP problem based on the Hadwiger conjecture (At present, as a feasible proof idea)

赵九思
3 links
Zenodo (CERN European Organization for Nuclear Research)
Complexity and Algorithms in Graphs
preprint

The proof of the P vs NP problem based on the Hadwiger conjecture (At present, as a feasible proof idea)

赵九思
preprint en

Abstract

At present, as a feasible proof idea.The proof of the P vs NP problem based on the Hadwiger conjecture proves that P ≠ NP, and the result not only solves the P vs NP problem, but also provides a structural perspective: the general difficulty of the NP complete problem essentially comes from the implicit nested occlusion of the constraint structure; and the standard The locality of the computational model determines that it cannot penetrate such deep nested structures in polynomial time. Future work can further extend this framework to other NP complete problems and establish a unified structural lower boundary theory.

Zenodo (CERN European Organization for Nuclear Research)
Complexity and Algorithms in Graphs
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The proof of the P vs NP problem based on the Hadwiger conjecture (At present, as a feasible proof idea) — 赵九思 · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS