The Whitehead Link on the Cubic Lattice
type: CreativeWork
description: 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.
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.
author: Haynes, Elizabeth
keywords: Earth Sciences, Environmental Health and Protection, Medical Sciences
date published: 2007-08-01T07:00:00Z
date modified: 2026-07-24T06:07:22Z
provider: Western Kentucky University
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Western Kentucky University