Theses and Dissertations - UTB/UTPA
Date of Award
4-2014
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
First Advisor
Dr. Jerzy Mogilsky
Second Advisor
Dr. Vesselin Vatchev
Third Advisor
Dr. Alexey Glazyrin
Abstract
The inspiration for this thesis came from two sources: the book When topology meets chemistry: a topological look at molecular chirality, by Erica Flapan [7], which discusses topologically interesting molecules; and the paper All toroidal embeddings of polyhedral graphs in 3-space are chiral, by T. Castle et al., which proves that toroidal embeddings of polyhedra are chiral. Their proof is examined in detail. A possible application of this work, as discussed by the team, would be in molecules which have the structure of a toroidal polyhedral embedding. Various methods of seeking such an example are attempted and discussed.
Granting Institution
University of Texas Brownsville
Comments
Copyright 2014 Ramiro Garza. All Rights Reserved.