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Updated: May 17, 2026

Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules
Published on: April 12, 2019
On existence of reporter strands in DNA-based graph structures
Nataša Jonoska1, Nadrian C Seeman, Gang Wu
1Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA.
Abstract:
Through self-assembly of branched junction molecules many different DNA structures (graphs) can be assembled. We show that every multigraph can be assembled by DNA such that there is a single strand that traces each edge in the graph at least once. This strand corresponds to a boundary component of a two-dimensional orientable surface that has the given graph as a deformation retract. This boundary component traverses every edge at least once, and it defines a circular path in the graph that "preserves the graph structure" and traverses each edge.
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