Self-Assembling DNA Complexes with a Wheel Graph Structure
Combinatorics
2023-02-28 v1
Abstract
The Watson-Crick complementary properties of DNA make DNA a useful tool for the self-assembly of various target complexes. Concepts from graph theory can be used to model the self-assembling process in which the vertices of the graph represent -armed branched junction molecules, called tiles. We seek to determine the minimum number of tile and cohesive-end types necessary to create the desired self-assembled complex. Although results are known for a few infinite classes of graphs, many classes of graphs remain unsolved. We present results for the wheel graph within the restrictions of three different settings.
Cite
@article{arxiv.2302.13014,
title = {Self-Assembling DNA Complexes with a Wheel Graph Structure},
author = {Gabriel Lopez and Cory Johnson},
journal= {arXiv preprint arXiv:2302.13014},
year = {2023}
}
Comments
16 pages, 14 figures