Supercoiled Tangles and Stick Numbers of 2-bridge Links
Geometric Topology
2013-08-06 v1
Abstract
Utilizing both twisting and writhing, we construct integral tangles with few sticks, leading to an efficient method for constructing polygonal 2-bridge links. Let L be a two bridge link with crossing number c, stick number s, and n tangles. It is shown that s is less than or equal to 2/3 c + 2n+3 . We also show that if c > 12n+3, then minimal stick representatives do not admit minimal crossing projections.
Cite
@article{arxiv.1308.0709,
title = {Supercoiled Tangles and Stick Numbers of 2-bridge Links},
author = {Erik Insko and Rolland Trapp},
journal= {arXiv preprint arXiv:1308.0709},
year = {2013}
}
Comments
15 pages, 14 figures