The Whitehead Link on the Cubic Lattice

Authors

Elizabeth Haynes, Western Kentucky University

Publication Date

8-1-2007

Degree Program

Department of Mathematics and Computer Science

Degree Type

Master of Science

Abstract

The cubic lattice is a graph in Â3 where the vertices are points with integer coordinates and edges are unit length line segments parallel to the x-, y-, or z-axis. A step is a line segment that connects one vertex to a neighboring vertex one unit away in the x-, y-, or z-direction. This thesis will show that the Whitehead Link needs at least 34 steps to be embedded on the cubic lattice.

Disciplines

Earth Sciences | Environmental Health and Protection | Medical Sciences

Recommended Citation

Haynes, Elizabeth, "The Whitehead Link on the Cubic Lattice" (2007). Masters Theses & Specialist Projects. Paper 421.
https://digitalcommons.wku.edu/theses/421