Isolated regions of a link projection
Geometric Topology
2024-10-08 v3
Abstract
A set of regions of a link projection is said to be isolated if any pair of regions in the set share no crossings. The isolate-region number of a link projection is the maximum value of the cardinality for isolated sets of regions of the link projection. In this paper, all the link projections of isolate-region number one are determined. Also, estimations for welded unknotting number and combinatorial way to find the isolate-region number are discussed, and a formula of the generating function of isolated-region sets is given for the standard projections of -torus links.
Cite
@article{arxiv.2404.15818,
title = {Isolated regions of a link projection},
author = {Tumpa Mahato and Ayaka Shimizu},
journal= {arXiv preprint arXiv:2404.15818},
year = {2024}
}
Comments
18 pages, 14 figures