The computational complexity of the solid torus core recognition problem
Geometric Topology
2023-06-09 v2
Abstract
The solid torus core recognition problem is the problem that, given a knot in the solid tours, decides whether the knot is the core of the solid torus. That problem is in NP since the thickened torus recognition problem is in NP. We give an alternate proof of that fact and prove that the problem is in co-NP. It is also proved that the Hopf link recognition problem is in NP and co-NP as a corollary of this result.
Cite
@article{arxiv.2305.10024,
title = {The computational complexity of the solid torus core recognition problem},
author = {Yuya Nishimura},
journal= {arXiv preprint arXiv:2305.10024},
year = {2023}
}
Comments
17 pages, 8 figures