Yuhong Wu

Publication Date


Advisor(s) - Committee Chair

Claus Ernst, Jens Harlander, Dominic Lanphier


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Degree Program

Department of Mathematics

Degree Type

Master of Science


The cubic lattice is a graph in R3 whose vertices are all points with coordinates (x, y, z) where x, y, z are integers and whose edges are line segments of unit length connecting two vertices. This thesis addresses how many edges of the cubic lattice are needed to realize a given link. The main theorem proves that two six crossing links, denoted 623, 633 and one eight crossing link, denoted 843, need a minimum of 36, 34, and 40 edges respectively.


Mathematics | Physical Sciences and Mathematics