Date of Award
9-2020
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Johnson, Corrine
Abstract
The properties of DNA make it a useful tool for designing self-assembling nanostructures. Branched junction molecules provide the molecular building blocks for creating target complexes. We model the underlying structure of a DNA complex with a graph and we use tools from linear algebra to optimize the self-assembling process. Some standard classes of graphs have been studied in the context of DNA self-assembly, but there are many open questions about other families of graphs. In this work, we study the rook's graph and its related design strategies.
Recommended Citation
Gonzalez, Ernesto, "Tile Based Self-Assembly of the Rook's Graph" (2020). Electronic Theses, Projects, and Dissertations. 1085.
https://scholarworks.lib.csusb.edu/etd/1085