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Tile Based Self-Assembly Of The Rook's Graph, Ernesto Gonzalez
Tile Based Self-Assembly Of The Rook's Graph, Ernesto Gonzalez
Electronic Theses, Projects, and Dissertations
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.