72 citations · 110 across the 13 of their papers we have counts for
6 papers · 1 filter
Using the HOMFLY-PT polynomial to compute knot types
Eric J. Rawdon, Robert G. Scharein
The HOMFLY-PT polynomial is a link invariant which is effective in determining chiral knot and link types with small crossing numbers. In this chapter, we concentrate on knots. We…
An introduction to KnotPlot
Robert G. Scharein, Eric J. Rawdon
We give a brief introduction to the software KnotPlot. The goals of this chapter are twofold: 1) to help a new user get started with using KnotPlot and 2) to provide veteran users…
Performance of the Uniform Closure Method for open knotting as a Bayes-type classifier
Emily Tibor, Elizabeth M. Annoni, Erin Brine-Doyle +5
The discovery of knotting in proteins and other macromolecular chains has motivated researchers to more carefully consider how to identify and classify knots in open arcs. Most def…
Knot Fertility and Lineage
Jason Cantarella, Allison Henrich, Elsa Magness +4
In this paper, we introduce a new type of relation between knots called the descendant relation. One knot is a descendant of another knot if can be obtained from a mini…
Polygonal knot space near ropelength-minimized knots
Kenneth C. Millett, Michael Piatek, Eric J. Rawdon
For a polygonal knot K, it is shown that a tube of radius R(K), the polygonal thickness radius, is an embedded torus. Given a thick configuration K, perturbations of size r<R(K) de…
Moebius energy of thick knots
Eric J. Rawdon, Jonathan Simon
The Moebius energy of a knot is an energy functional for smooth curves based on an idea of self-repelling. If a knot has a thick tubular neighborhood, we would intuitively expect t…