English

A Polynomial Time Algorithm for Graph Isomorphism

Computational Complexity 2022-10-18 v5

Abstract

We claimed that there is a polynomial algorithm to test if two graphs are isomorphic. But the algorithm is wrong. It only tests if the adjacency matrices of two graphs have the same eigenvalues. There is a counterexample of two non-isomorphic graphs with the same eigenvalues.

Keywords

Cite

@article{arxiv.0711.2010,
  title  = {A Polynomial Time Algorithm for Graph Isomorphism},
  author = {Reiner Czerwinski},
  journal= {arXiv preprint arXiv:0711.2010},
  year   = {2022}
}
R2 v1 2026-06-21T09:42:58.684Z