Date of Degree
PhD (Doctor of Philosophy)
Applied Mathematical and Computational Sciences
Isabel K. Darcy
First Committee Member
Second Committee Member
Third Committee Member
Fourth Committee Member
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.
ix, 95 pages
Includes bibliographical references (pages 90-95).
Copyright © 2017 Christine Caples
Caples, Christine. "Classifying 2-string tangles within families and tangle tabulation." PhD (Doctor of Philosophy) thesis, University of Iowa, 2017.