Theses and Dissertations - UTB/UTPA

Date of Award


Document Type


Degree Name

Master of Science (MS)



First Advisor

Dr. Jerzy Mogilsky

Second Advisor

Dr. Vesselin Vatchev

Third Advisor

Dr. Alexey Glazyrin


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.


Copyright 2014 Ramiro Garza. All Rights Reserved.

Granting Institution

University of Texas Brownsville

Included in

Mathematics Commons