A Sharp Upper Bound for Region Unknotting Number of Torus Knots
Vikash Siwach, Madeti Prabhakar
TL;DR
This paper establishes a precise upper limit on the number of region crossing changes needed to unknot certain torus knots and links, advancing understanding of their unknotting properties.
Contribution
It provides a sharp upper bound on the region unknotting number for a broad class of torus knots and links, and discusses conditions for torus links to be proper.
Findings
Derived a sharp upper bound for region unknotting number
Identified conditions for torus links to be proper
Enhanced understanding of unknotting operations for torus knots
Abstract
Region crossing change for a knot or a proper link is an unknotting operation. In this paper, we provide a sharp upper bound on the region unknotting number for a large class of torus knots and proper links. Also, we discuss conditions on torus links to be proper.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.