Back to results

Western Kentucky University

The Whitehead Link on the Cubic Lattice

Abstract

dc:description.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.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Discipline thesis:degree_discipline
Department of Mathematics and Computer Science
Year
2007

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Haynes, Elizabeth

Subjects

dc:subject × 3

Identifiers

dc:identifier.*
Repository record dc:identifier
https://digitalcommons.wku.edu/theses/421
OAI identifier oai:identifier
oai:digitalcommons.wku.edu:theses-1424

Chain of custody

source
Harvested from
Western Kentucky University
Base URL
digitalcommons.wku.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Haynes, Elizabeth. The Whitehead Link on the Cubic Lattice. 2007. https://digitalcommons.wku.edu/theses/421