Document Type

Dissertation

Date of Degree

Fall 2017

Degree Name

PhD (Doctor of Philosophy)

Degree In

Applied Mathematical and Computational Sciences

First Advisor

Isabel K. Darcy

First Committee Member

Maggy Tomova

Second Committee Member

Keith Stroyan

Third Committee Member

Colleen Mitchell

Fourth Committee Member

Cynthia Farthing

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

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