English

Link Crossing Number is NP-hard

Computational Geometry 2019-08-13 v1 Geometric Topology

Abstract

We show that determining the crossing number of a link is NP-hard. For some weaker notions of link equivalence, we also show NP-completeness.

Cite

@article{arxiv.1908.04073,
  title  = {Link Crossing Number is NP-hard},
  author = {Arnaud de Mesmay and Marcus Schaefer and Eric Sedgwick},
  journal= {arXiv preprint arXiv:1908.04073},
  year   = {2019}
}
R2 v1 2026-06-23T10:45:01.207Z