DOI
10.17077/etd.x6ffu1fs
Document Type
Dissertation
Date of Degree
Fall 2017
Degree Name
PhD (Doctor of Philosophy)
Degree In
Applied Mathematical and Computational Sciences
First Advisor
Darcy, Isabel K.
First Committee Member
Tomova, Maggy
Second Committee Member
Stroyan, Keith
Third Committee Member
Mitchell, Colleen
Fourth Committee Member
Farthing, Cynthia
Abstract
A knot can be thought of as a knotted piece of string with the ends glued together. A tangle is formed by intersecting a knot with a 3-dimensional ball. The portion of the knot in the interior of the ball along with the fixed intersection points on the surface of the ball form the tangle. Tangles can be used to model protein- DNA binding, so another way to think of a tangle is in terms of segments of DNA (the strings) bounded by the protein complex (the 3-dimensional ball). In this thesis, we look at an algorithm used to list tangles. We also classify tangles into families.
Pages
ix, 95 pages
Bibliography
Includes bibliographical references (pages 90-95).
Copyright
Copyright © 2017 Christine Caples
Recommended Citation
Caples, Christine. "Classifying 2-string tangles within families and tangle tabulation." PhD (Doctor of Philosophy) thesis, University of Iowa, 2017.
https://doi.org/10.17077/etd.x6ffu1fs